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Finding the Third Proportional to 65,742 and 144,588

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Solution

The third proportional to 65,742 and 144,588 is: 317,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,742 : 144,588 = 144,588 : x
  2. Step 2: Convert to fraction form
    65,742/144,588 = 144,588/x
  3. Step 3: Cross multiply
    65,742x = 144,588 × 144,588
  4. Step 4: Simplify right side
    65,742x = 20,905,689,744
  5. Step 5: Solve for x
    x = 20,905,689,744/65,742
  6. Step 6: Final answer
    x = 317,995.95

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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.