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Finding the Third Proportional to 317,896 and 690,468

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Solution

The third proportional to 317,896 and 690,468 is: 1,499,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,896 : 690,468 = 690,468 : x
  2. Step 2: Convert to fraction form
    317,896/690,468 = 690,468/x
  3. Step 3: Cross multiply
    317,896x = 690,468 × 690,468
  4. Step 4: Simplify right side
    317,896x = 476,746,059,024
  5. Step 5: Solve for x
    x = 476,746,059,024/317,896
  6. Step 6: Final answer
    x = 1,499,691.91

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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.