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Finding the Third Proportional to 83,630 and 121,928

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Solution

The third proportional to 83,630 and 121,928 is: 177,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,630 : 121,928 = 121,928 : x
  2. Step 2: Convert to fraction form
    83,630/121,928 = 121,928/x
  3. Step 3: Cross multiply
    83,630x = 121,928 × 121,928
  4. Step 4: Simplify right side
    83,630x = 14,866,437,184
  5. Step 5: Solve for x
    x = 14,866,437,184/83,630
  6. Step 6: Final answer
    x = 177,764.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.