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Finding the Third Proportional to 65,619 and 137,475

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Solution

The third proportional to 65,619 and 137,475 is: 288,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,619 : 137,475 = 137,475 : x
  2. Step 2: Convert to fraction form
    65,619/137,475 = 137,475/x
  3. Step 3: Cross multiply
    65,619x = 137,475 × 137,475
  4. Step 4: Simplify right side
    65,619x = 18,899,375,625
  5. Step 5: Solve for x
    x = 18,899,375,625/65,619
  6. Step 6: Final answer
    x = 288,016.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.