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Finding the Third Proportional to 39,318.75 and 84,897

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Solution

The third proportional to 39,318.75 and 84,897 is: 183,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,318.75 : 84,897 = 84,897 : x
  2. Step 2: Convert to fraction form
    39,318.75/84,897 = 84,897/x
  3. Step 3: Cross multiply
    39,318.75x = 84,897 × 84,897
  4. Step 4: Simplify right side
    39,318.75x = 7,207,500,609
  5. Step 5: Solve for x
    x = 7,207,500,609/39,318.75
  6. Step 6: Final answer
    x = 183,309.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.