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Finding the Third Proportional to 266,659.50 and 440,436

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Solution

The third proportional to 266,659.50 and 440,436 is: 727,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,659.50 : 440,436 = 440,436 : x
  2. Step 2: Convert to fraction form
    266,659.50/440,436 = 440,436/x
  3. Step 3: Cross multiply
    266,659.50x = 440,436 × 440,436
  4. Step 4: Simplify right side
    266,659.50x = 193,983,870,096
  5. Step 5: Solve for x
    x = 193,983,870,096/266,659.50
  6. Step 6: Final answer
    x = 727,459.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.