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Finding the Third Proportional to 181,170 and 266,427

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Solution

The third proportional to 181,170 and 266,427 is: 391,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,170 : 266,427 = 266,427 : x
  2. Step 2: Convert to fraction form
    181,170/266,427 = 266,427/x
  3. Step 3: Cross multiply
    181,170x = 266,427 × 266,427
  4. Step 4: Simplify right side
    181,170x = 70,983,346,329
  5. Step 5: Solve for x
    x = 70,983,346,329/181,170
  6. Step 6: Final answer
    x = 391,805.19

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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.