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Finding the Third Proportional to 90,780.75 and 139,999.13

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Solution

The third proportional to 90,780.75 and 139,999.13 is: 215,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,780.75 : 139,999.13 = 139,999.13 : x
  2. Step 2: Convert to fraction form
    90,780.75/139,999.13 = 139,999.13/x
  3. Step 3: Cross multiply
    90,780.75x = 139,999.13 × 139,999.13
  4. Step 4: Simplify right side
    90,780.75x = 19,599,755,000.77
  5. Step 5: Solve for x
    x = 19,599,755,000.77/90,780.75
  6. Step 6: Final answer
    x = 215,902.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.