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Finding the Third Proportional to 207,446 and 318,700

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Solution

The third proportional to 207,446 and 318,700 is: 489,619.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,446 : 318,700 = 318,700 : x
  2. Step 2: Convert to fraction form
    207,446/318,700 = 318,700/x
  3. Step 3: Cross multiply
    207,446x = 318,700 × 318,700
  4. Step 4: Simplify right side
    207,446x = 101,569,690,000
  5. Step 5: Solve for x
    x = 101,569,690,000/207,446
  6. Step 6: Final answer
    x = 489,619.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.