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Finding the Third Proportional to 181,218 and 266,487

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Solution

The third proportional to 181,218 and 266,487 is: 391,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,218 : 266,487 = 266,487 : x
  2. Step 2: Convert to fraction form
    181,218/266,487 = 266,487/x
  3. Step 3: Cross multiply
    181,218x = 266,487 × 266,487
  4. Step 4: Simplify right side
    181,218x = 71,015,321,169
  5. Step 5: Solve for x
    x = 71,015,321,169/181,218
  6. Step 6: Final answer
    x = 391,877.86

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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.