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Finding the Third Proportional to 129,000.94 and 189,709.88

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Solution

The third proportional to 129,000.94 and 189,709.88 is: 278,988.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,000.94 : 189,709.88 = 189,709.88 : x
  2. Step 2: Convert to fraction form
    129,000.94/189,709.88 = 189,709.88/x
  3. Step 3: Cross multiply
    129,000.94x = 189,709.88 × 189,709.88
  4. Step 4: Simplify right side
    129,000.94x = 35,989,836,672.52
  5. Step 5: Solve for x
    x = 35,989,836,672.52/129,000.94
  6. Step 6: Final answer
    x = 278,988.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.