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Finding the Third Proportional to 398,553,284 and 862,611,376

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Solution

The third proportional to 398,553,284 and 862,611,376 is: 1,866,998,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,553,284 : 862,611,376 = 862,611,376 : x
  2. Step 2: Convert to fraction form
    398,553,284/862,611,376 = 862,611,376/x
  3. Step 3: Cross multiply
    398,553,284x = 862,611,376 × 862,611,376
  4. Step 4: Simplify right side
    398,553,284x = 744,098,386,004,613,376
  5. Step 5: Solve for x
    x = 744,098,386,004,613,376/398,553,284
  6. Step 6: Final answer
    x = 1,866,998,506.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.