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Finding the Third Proportional to 27,909 and 65,721

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Solution

The third proportional to 27,909 and 65,721 is: 154,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909 : 65,721 = 65,721 : x
  2. Step 2: Convert to fraction form
    27,909/65,721 = 65,721/x
  3. Step 3: Cross multiply
    27,909x = 65,721 × 65,721
  4. Step 4: Simplify right side
    27,909x = 4,319,249,841
  5. Step 5: Solve for x
    x = 4,319,249,841/27,909
  6. Step 6: Final answer
    x = 154,761.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.