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Finding the Third Proportional to 85,530.75 and 132,447

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Solution

The third proportional to 85,530.75 and 132,447 is: 205,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,530.75 : 132,447 = 132,447 : x
  2. Step 2: Convert to fraction form
    85,530.75/132,447 = 132,447/x
  3. Step 3: Cross multiply
    85,530.75x = 132,447 × 132,447
  4. Step 4: Simplify right side
    85,530.75x = 17,542,207,809
  5. Step 5: Solve for x
    x = 17,542,207,809/85,530.75
  6. Step 6: Final answer
    x = 205,098.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.