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Finding the Third Proportional to 69,448 and 98,340

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Solution

The third proportional to 69,448 and 98,340 is: 139,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,448 : 98,340 = 98,340 : x
  2. Step 2: Convert to fraction form
    69,448/98,340 = 98,340/x
  3. Step 3: Cross multiply
    69,448x = 98,340 × 98,340
  4. Step 4: Simplify right side
    69,448x = 9,670,755,600
  5. Step 5: Solve for x
    x = 9,670,755,600/69,448
  6. Step 6: Final answer
    x = 139,251.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.