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Finding the Third Proportional to 89,730 and 121,932

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Solution

The third proportional to 89,730 and 121,932 is: 165,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,730 : 121,932 = 121,932 : x
  2. Step 2: Convert to fraction form
    89,730/121,932 = 121,932/x
  3. Step 3: Cross multiply
    89,730x = 121,932 × 121,932
  4. Step 4: Simplify right side
    89,730x = 14,867,412,624
  5. Step 5: Solve for x
    x = 14,867,412,624/89,730
  6. Step 6: Final answer
    x = 165,690.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.