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Finding the Third Proportional to 39,609 and 84,564

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Solution

The third proportional to 39,609 and 84,564 is: 180,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,609 : 84,564 = 84,564 : x
  2. Step 2: Convert to fraction form
    39,609/84,564 = 84,564/x
  3. Step 3: Cross multiply
    39,609x = 84,564 × 84,564
  4. Step 4: Simplify right side
    39,609x = 7,151,070,096
  5. Step 5: Solve for x
    x = 7,151,070,096/39,609
  6. Step 6: Final answer
    x = 180,541.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.