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Finding the Third Proportional to 65,129 and 97,420

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Solution

The third proportional to 65,129 and 97,420 is: 145,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,129 : 97,420 = 97,420 : x
  2. Step 2: Convert to fraction form
    65,129/97,420 = 97,420/x
  3. Step 3: Cross multiply
    65,129x = 97,420 × 97,420
  4. Step 4: Simplify right side
    65,129x = 9,490,656,400
  5. Step 5: Solve for x
    x = 9,490,656,400/65,129
  6. Step 6: Final answer
    x = 145,720.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.