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Finding the Third Proportional to 85,736.81 and 115,654.50

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Solution

The third proportional to 85,736.81 and 115,654.50 is: 156,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,736.81 : 115,654.50 = 115,654.50 : x
  2. Step 2: Convert to fraction form
    85,736.81/115,654.50 = 115,654.50/x
  3. Step 3: Cross multiply
    85,736.81x = 115,654.50 × 115,654.50
  4. Step 4: Simplify right side
    85,736.81x = 13,375,963,370.25
  5. Step 5: Solve for x
    x = 13,375,963,370.25/85,736.81
  6. Step 6: Final answer
    x = 156,011.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.