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Finding the Third Proportional to 84,392 and 126,780

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Solution

The third proportional to 84,392 and 126,780 is: 190,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,392 : 126,780 = 126,780 : x
  2. Step 2: Convert to fraction form
    84,392/126,780 = 126,780/x
  3. Step 3: Cross multiply
    84,392x = 126,780 × 126,780
  4. Step 4: Simplify right side
    84,392x = 16,073,168,400
  5. Step 5: Solve for x
    x = 16,073,168,400/84,392
  6. Step 6: Final answer
    x = 190,458.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.