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Finding the Third Proportional to 73,540 and 98,619

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Solution

The third proportional to 73,540 and 98,619 is: 132,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,540 : 98,619 = 98,619 : x
  2. Step 2: Convert to fraction form
    73,540/98,619 = 98,619/x
  3. Step 3: Cross multiply
    73,540x = 98,619 × 98,619
  4. Step 4: Simplify right side
    73,540x = 9,725,707,161
  5. Step 5: Solve for x
    x = 9,725,707,161/73,540
  6. Step 6: Final answer
    x = 132,250.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.