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Finding the Third Proportional to 129,023 and 189,739

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Solution

The third proportional to 129,023 and 189,739 is: 279,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,023 : 189,739 = 189,739 : x
  2. Step 2: Convert to fraction form
    129,023/189,739 = 189,739/x
  3. Step 3: Cross multiply
    129,023x = 189,739 × 189,739
  4. Step 4: Simplify right side
    129,023x = 36,000,888,121
  5. Step 5: Solve for x
    x = 36,000,888,121/129,023
  6. Step 6: Final answer
    x = 279,026.90

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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.