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Finding the Third Proportional to 133,780 and 181,897

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Solution

The third proportional to 133,780 and 181,897 is: 247,320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,780 : 181,897 = 181,897 : x
  2. Step 2: Convert to fraction form
    133,780/181,897 = 181,897/x
  3. Step 3: Cross multiply
    133,780x = 181,897 × 181,897
  4. Step 4: Simplify right side
    133,780x = 33,086,518,609
  5. Step 5: Solve for x
    x = 33,086,518,609/133,780
  6. Step 6: Final answer
    x = 247,320.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.