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Finding the Third Proportional to 126,898 and 178,543

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Solution

The third proportional to 126,898 and 178,543 is: 251,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,898 : 178,543 = 178,543 : x
  2. Step 2: Convert to fraction form
    126,898/178,543 = 178,543/x
  3. Step 3: Cross multiply
    126,898x = 178,543 × 178,543
  4. Step 4: Simplify right side
    126,898x = 31,877,602,849
  5. Step 5: Solve for x
    x = 31,877,602,849/126,898
  6. Step 6: Final answer
    x = 251,206.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.