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Finding the Third Proportional to 80,742 and 121,140

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Solution

The third proportional to 80,742 and 121,140 is: 181,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,742 : 121,140 = 121,140 : x
  2. Step 2: Convert to fraction form
    80,742/121,140 = 121,140/x
  3. Step 3: Cross multiply
    80,742x = 121,140 × 121,140
  4. Step 4: Simplify right side
    80,742x = 14,674,899,600
  5. Step 5: Solve for x
    x = 14,674,899,600/80,742
  6. Step 6: Final answer
    x = 181,750.51

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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.