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Finding the Third Proportional to 81,207.56 and 118,120.78

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Solution

The third proportional to 81,207.56 and 118,120.78 is: 171,813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,207.56 : 118,120.78 = 118,120.78 : x
  2. Step 2: Convert to fraction form
    81,207.56/118,120.78 = 118,120.78/x
  3. Step 3: Cross multiply
    81,207.56x = 118,120.78 × 118,120.78
  4. Step 4: Simplify right side
    81,207.56x = 13,952,518,963.11
  5. Step 5: Solve for x
    x = 13,952,518,963.11/81,207.56
  6. Step 6: Final answer
    x = 171,813.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.