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Finding the Third Proportional to 129,276 and 189,654

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Solution

The third proportional to 129,276 and 189,654 is: 278,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,276 : 189,654 = 189,654 : x
  2. Step 2: Convert to fraction form
    129,276/189,654 = 189,654/x
  3. Step 3: Cross multiply
    129,276x = 189,654 × 189,654
  4. Step 4: Simplify right side
    129,276x = 35,968,639,716
  5. Step 5: Solve for x
    x = 35,968,639,716/129,276
  6. Step 6: Final answer
    x = 278,231.38

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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.