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Finding the Third Proportional to 78,192 and 121,320

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Solution

The third proportional to 78,192 and 121,320 is: 188,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192 : 121,320 = 121,320 : x
  2. Step 2: Convert to fraction form
    78,192/121,320 = 121,320/x
  3. Step 3: Cross multiply
    78,192x = 121,320 × 121,320
  4. Step 4: Simplify right side
    78,192x = 14,718,542,400
  5. Step 5: Solve for x
    x = 14,718,542,400/78,192
  6. Step 6: Final answer
    x = 188,235.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.