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Finding the Third Proportional to 120,902.63 and 187,839

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Solution

The third proportional to 120,902.63 and 187,839 is: 291,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,902.63 : 187,839 = 187,839 : x
  2. Step 2: Convert to fraction form
    120,902.63/187,839 = 187,839/x
  3. Step 3: Cross multiply
    120,902.63x = 187,839 × 187,839
  4. Step 4: Simplify right side
    120,902.63x = 35,283,489,921
  5. Step 5: Solve for x
    x = 35,283,489,921/120,902.63
  6. Step 6: Final answer
    x = 291,833.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.