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Finding the Third Proportional to 810,639,521 and 1,643,836,039

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Solution

The third proportional to 810,639,521 and 1,643,836,039 is: 3,333,413,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,639,521 : 1,643,836,039 = 1,643,836,039 : x
  2. Step 2: Convert to fraction form
    810,639,521/1,643,836,039 = 1,643,836,039/x
  3. Step 3: Cross multiply
    810,639,521x = 1,643,836,039 × 1,643,836,039
  4. Step 4: Simplify right side
    810,639,521x = 2,702,196,923,115,209,728
  5. Step 5: Solve for x
    x = 2,702,196,923,115,209,728/810,639,521
  6. Step 6: Final answer
    x = 3,333,413,746.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.