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Finding the Third Proportional to 99,781.50 and 118,233.75

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Solution

The third proportional to 99,781.50 and 118,233.75 is: 140,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,781.50 : 118,233.75 = 118,233.75 : x
  2. Step 2: Convert to fraction form
    99,781.50/118,233.75 = 118,233.75/x
  3. Step 3: Cross multiply
    99,781.50x = 118,233.75 × 118,233.75
  4. Step 4: Simplify right side
    99,781.50x = 13,979,219,639.06
  5. Step 5: Solve for x
    x = 13,979,219,639.06/99,781.50
  6. Step 6: Final answer
    x = 140,098.31

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.