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Finding the Third Proportional to 266,915 and 587,306

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Solution

The third proportional to 266,915 and 587,306 is: 1,292,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,915 : 587,306 = 587,306 : x
  2. Step 2: Convert to fraction form
    266,915/587,306 = 587,306/x
  3. Step 3: Cross multiply
    266,915x = 587,306 × 587,306
  4. Step 4: Simplify right side
    266,915x = 344,928,337,636
  5. Step 5: Solve for x
    x = 344,928,337,636/266,915
  6. Step 6: Final answer
    x = 1,292,277.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.