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Finding the Third Proportional to 317,904 and 687,432

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Solution

The third proportional to 317,904 and 687,432 is: 1,486,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,904 : 687,432 = 687,432 : x
  2. Step 2: Convert to fraction form
    317,904/687,432 = 687,432/x
  3. Step 3: Cross multiply
    317,904x = 687,432 × 687,432
  4. Step 4: Simplify right side
    317,904x = 472,562,754,624
  5. Step 5: Solve for x
    x = 472,562,754,624/317,904
  6. Step 6: Final answer
    x = 1,486,495.15

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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.