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Finding the Third Proportional to 471,329,700,552 and 1,033,911,258,480

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Solution

The third proportional to 471,329,700,552 and 1,033,911,258,480 is: 2,267,993,061,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,329,700,552 : 1,033,911,258,480 = 1,033,911,258,480 : x
  2. Step 2: Convert to fraction form
    471,329,700,552/1,033,911,258,480 = 1,033,911,258,480/x
  3. Step 3: Cross multiply
    471,329,700,552x = 1,033,911,258,480 × 1,033,911,258,480
  4. Step 4: Simplify right side
    471,329,700,552x = 1,068,972,490,411,697,325,998,080
  5. Step 5: Solve for x
    x = 1,068,972,490,411,697,325,998,080/471,329,700,552
  6. Step 6: Final answer
    x = 2,267,993,061,247.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.