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Finding the Third Proportional to 452,154,314 and 979,442,680

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Solution

The third proportional to 452,154,314 and 979,442,680 is: 2,121,638,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,154,314 : 979,442,680 = 979,442,680 : x
  2. Step 2: Convert to fraction form
    452,154,314/979,442,680 = 979,442,680/x
  3. Step 3: Cross multiply
    452,154,314x = 979,442,680 × 979,442,680
  4. Step 4: Simplify right side
    452,154,314x = 959,307,963,405,582,336
  5. Step 5: Solve for x
    x = 959,307,963,405,582,336/452,154,314
  6. Step 6: Final answer
    x = 2,121,638,417.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.