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Finding the Third Proportional to 65,456 and 145,720

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Solution

The third proportional to 65,456 and 145,720 is: 324,405.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,456 : 145,720 = 145,720 : x
  2. Step 2: Convert to fraction form
    65,456/145,720 = 145,720/x
  3. Step 3: Cross multiply
    65,456x = 145,720 × 145,720
  4. Step 4: Simplify right side
    65,456x = 21,234,318,400
  5. Step 5: Solve for x
    x = 21,234,318,400/65,456
  6. Step 6: Final answer
    x = 324,405.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.