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Finding the Third Proportional to 77,344 and 103,584

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Solution

The third proportional to 77,344 and 103,584 is: 138,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,344 : 103,584 = 103,584 : x
  2. Step 2: Convert to fraction form
    77,344/103,584 = 103,584/x
  3. Step 3: Cross multiply
    77,344x = 103,584 × 103,584
  4. Step 4: Simplify right side
    77,344x = 10,729,645,056
  5. Step 5: Solve for x
    x = 10,729,645,056/77,344
  6. Step 6: Final answer
    x = 138,726.28

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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.