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Finding the Third Proportional to 49,344 and 78,480

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Solution

The third proportional to 49,344 and 78,480 is: 124,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344 : 78,480 = 78,480 : x
  2. Step 2: Convert to fraction form
    49,344/78,480 = 78,480/x
  3. Step 3: Cross multiply
    49,344x = 78,480 × 78,480
  4. Step 4: Simplify right side
    49,344x = 6,159,110,400
  5. Step 5: Solve for x
    x = 6,159,110,400/49,344
  6. Step 6: Final answer
    x = 124,819.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.