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Finding the Third Proportional to 65,750 and 144,015

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Solution

The third proportional to 65,750 and 144,015 is: 315,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,750 : 144,015 = 144,015 : x
  2. Step 2: Convert to fraction form
    65,750/144,015 = 144,015/x
  3. Step 3: Cross multiply
    65,750x = 144,015 × 144,015
  4. Step 4: Simplify right side
    65,750x = 20,740,320,225
  5. Step 5: Solve for x
    x = 20,740,320,225/65,750
  6. Step 6: Final answer
    x = 315,442.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.