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Finding the Third Proportional to 317,920 and 690,516

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Solution

The third proportional to 317,920 and 690,516 is: 1,499,787.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,920 : 690,516 = 690,516 : x
  2. Step 2: Convert to fraction form
    317,920/690,516 = 690,516/x
  3. Step 3: Cross multiply
    317,920x = 690,516 × 690,516
  4. Step 4: Simplify right side
    317,920x = 476,812,346,256
  5. Step 5: Solve for x
    x = 476,812,346,256/317,920
  6. Step 6: Final answer
    x = 1,499,787.20

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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.