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Finding the Third Proportional to 85,732.31 and 130,308.19

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Solution

The third proportional to 85,732.31 and 130,308.19 is: 198,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,732.31 : 130,308.19 = 130,308.19 : x
  2. Step 2: Convert to fraction form
    85,732.31/130,308.19 = 130,308.19/x
  3. Step 3: Cross multiply
    85,732.31x = 130,308.19 × 130,308.19
  4. Step 4: Simplify right side
    85,732.31x = 16,980,223,729.54
  5. Step 5: Solve for x
    x = 16,980,223,729.54/85,732.31
  6. Step 6: Final answer
    x = 198,060.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.