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Finding the Third Proportional to 39,079 and 85,610

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Solution

The third proportional to 39,079 and 85,610 is: 187,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,079 : 85,610 = 85,610 : x
  2. Step 2: Convert to fraction form
    39,079/85,610 = 85,610/x
  3. Step 3: Cross multiply
    39,079x = 85,610 × 85,610
  4. Step 4: Simplify right side
    39,079x = 7,329,072,100
  5. Step 5: Solve for x
    x = 7,329,072,100/39,079
  6. Step 6: Final answer
    x = 187,545.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.