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Finding the Third Proportional to 317,676 and 493,940

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Solution

The third proportional to 317,676 and 493,940 is: 768,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,676 : 493,940 = 493,940 : x
  2. Step 2: Convert to fraction form
    317,676/493,940 = 493,940/x
  3. Step 3: Cross multiply
    317,676x = 493,940 × 493,940
  4. Step 4: Simplify right side
    317,676x = 243,976,723,600
  5. Step 5: Solve for x
    x = 243,976,723,600/317,676
  6. Step 6: Final answer
    x = 768,004.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.