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Finding the Third Proportional to 266,940 and 359,550

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Solution

The third proportional to 266,940 and 359,550 is: 484,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,940 : 359,550 = 359,550 : x
  2. Step 2: Convert to fraction form
    266,940/359,550 = 359,550/x
  3. Step 3: Cross multiply
    266,940x = 359,550 × 359,550
  4. Step 4: Simplify right side
    266,940x = 129,276,202,500
  5. Step 5: Solve for x
    x = 129,276,202,500/266,940
  6. Step 6: Final answer
    x = 484,289.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.