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Finding the Third Proportional to 181,216 and 266,484

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Solution

The third proportional to 181,216 and 266,484 is: 391,873.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,216 : 266,484 = 266,484 : x
  2. Step 2: Convert to fraction form
    181,216/266,484 = 266,484/x
  3. Step 3: Cross multiply
    181,216x = 266,484 × 266,484
  4. Step 4: Simplify right side
    181,216x = 71,013,722,256
  5. Step 5: Solve for x
    x = 71,013,722,256/181,216
  6. Step 6: Final answer
    x = 391,873.36

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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.