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Finding the Third Proportional to 85,200.38 and 132,295.69

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Solution

The third proportional to 85,200.38 and 132,295.69 is: 205,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,200.38 : 132,295.69 = 132,295.69 : x
  2. Step 2: Convert to fraction form
    85,200.38/132,295.69 = 132,295.69/x
  3. Step 3: Cross multiply
    85,200.38x = 132,295.69 × 132,295.69
  4. Step 4: Simplify right side
    85,200.38x = 17,502,148,931.10
  5. Step 5: Solve for x
    x = 17,502,148,931.10/85,200.38
  6. Step 6: Final answer
    x = 205,423.38

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