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Finding the Third Proportional to 181,572 and 266,520

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Solution

The third proportional to 181,572 and 266,520 is: 391,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,572 : 266,520 = 266,520 : x
  2. Step 2: Convert to fraction form
    181,572/266,520 = 266,520/x
  3. Step 3: Cross multiply
    181,572x = 266,520 × 266,520
  4. Step 4: Simplify right side
    181,572x = 71,032,910,400
  5. Step 5: Solve for x
    x = 71,032,910,400/181,572
  6. Step 6: Final answer
    x = 391,210.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.