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Finding the Third Proportional to 266,911 and 587,297

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Solution

The third proportional to 266,911 and 587,297 is: 1,292,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,911 : 587,297 = 587,297 : x
  2. Step 2: Convert to fraction form
    266,911/587,297 = 587,297/x
  3. Step 3: Cross multiply
    266,911x = 587,297 × 587,297
  4. Step 4: Simplify right side
    266,911x = 344,917,766,209
  5. Step 5: Solve for x
    x = 344,917,766,209/266,911
  6. Step 6: Final answer
    x = 1,292,257.59

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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.