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Finding the Third Proportional to 65,722 and 137,720

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Solution

The third proportional to 65,722 and 137,720 is: 288,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,722 : 137,720 = 137,720 : x
  2. Step 2: Convert to fraction form
    65,722/137,720 = 137,720/x
  3. Step 3: Cross multiply
    65,722x = 137,720 × 137,720
  4. Step 4: Simplify right side
    65,722x = 18,966,798,400
  5. Step 5: Solve for x
    x = 18,966,798,400/65,722
  6. Step 6: Final answer
    x = 288,591.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.