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Finding the Third Proportional to 129,130 and 189,755

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Solution

The third proportional to 129,130 and 189,755 is: 278,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,130 : 189,755 = 189,755 : x
  2. Step 2: Convert to fraction form
    129,130/189,755 = 189,755/x
  3. Step 3: Cross multiply
    129,130x = 189,755 × 189,755
  4. Step 4: Simplify right side
    129,130x = 36,006,960,025
  5. Step 5: Solve for x
    x = 36,006,960,025/129,130
  6. Step 6: Final answer
    x = 278,842.72

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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.