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Finding the Third Proportional to 39,402.70 and 85,502.95

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Solution

The third proportional to 39,402.70 and 85,502.95 is: 185,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,402.70 : 85,502.95 = 85,502.95 : x
  2. Step 2: Convert to fraction form
    39,402.70/85,502.95 = 85,502.95/x
  3. Step 3: Cross multiply
    39,402.70x = 85,502.95 × 85,502.95
  4. Step 4: Simplify right side
    39,402.70x = 7,310,754,993.10
  5. Step 5: Solve for x
    x = 7,310,754,993.10/39,402.70
  6. Step 6: Final answer
    x = 185,539.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.