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Finding the Third Proportional to 65,720 and 144,560

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Solution

The third proportional to 65,720 and 144,560 is: 317,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,720 : 144,560 = 144,560 : x
  2. Step 2: Convert to fraction form
    65,720/144,560 = 144,560/x
  3. Step 3: Cross multiply
    65,720x = 144,560 × 144,560
  4. Step 4: Simplify right side
    65,720x = 20,897,593,600
  5. Step 5: Solve for x
    x = 20,897,593,600/65,720
  6. Step 6: Final answer
    x = 317,979.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.