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Finding the Third Proportional to 266,532 and 395,739

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Solution

The third proportional to 266,532 and 395,739 is: 587,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,532 : 395,739 = 395,739 : x
  2. Step 2: Convert to fraction form
    266,532/395,739 = 395,739/x
  3. Step 3: Cross multiply
    266,532x = 395,739 × 395,739
  4. Step 4: Simplify right side
    266,532x = 156,609,356,121
  5. Step 5: Solve for x
    x = 156,609,356,121/266,532
  6. Step 6: Final answer
    x = 587,581.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.