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Finding the Third Proportional to 80,953.17 and 121,429.76

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Solution

The third proportional to 80,953.17 and 121,429.76 is: 182,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,953.17 : 121,429.76 = 121,429.76 : x
  2. Step 2: Convert to fraction form
    80,953.17/121,429.76 = 121,429.76/x
  3. Step 3: Cross multiply
    80,953.17x = 121,429.76 × 121,429.76
  4. Step 4: Simplify right side
    80,953.17x = 14,745,186,082.40
  5. Step 5: Solve for x
    x = 14,745,186,082.40/80,953.17
  6. Step 6: Final answer
    x = 182,144.64

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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.