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Finding the Third Proportional to 132,846 and 197,387

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Solution

The third proportional to 132,846 and 197,387 is: 293,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,846 : 197,387 = 197,387 : x
  2. Step 2: Convert to fraction form
    132,846/197,387 = 197,387/x
  3. Step 3: Cross multiply
    132,846x = 197,387 × 197,387
  4. Step 4: Simplify right side
    132,846x = 38,961,627,769
  5. Step 5: Solve for x
    x = 38,961,627,769/132,846
  6. Step 6: Final answer
    x = 293,284.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.