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Finding the Third Proportional to 65,712 and 144,544

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Solution

The third proportional to 65,712 and 144,544 is: 317,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,712 : 144,544 = 144,544 : x
  2. Step 2: Convert to fraction form
    65,712/144,544 = 144,544/x
  3. Step 3: Cross multiply
    65,712x = 144,544 × 144,544
  4. Step 4: Simplify right side
    65,712x = 20,892,967,936
  5. Step 5: Solve for x
    x = 20,892,967,936/65,712
  6. Step 6: Final answer
    x = 317,947.53

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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.