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Finding the Third Proportional to 138,846 and 203,082

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Solution

The third proportional to 138,846 and 203,082 is: 297,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,846 : 203,082 = 203,082 : x
  2. Step 2: Convert to fraction form
    138,846/203,082 = 203,082/x
  3. Step 3: Cross multiply
    138,846x = 203,082 × 203,082
  4. Step 4: Simplify right side
    138,846x = 41,242,298,724
  5. Step 5: Solve for x
    x = 41,242,298,724/138,846
  6. Step 6: Final answer
    x = 297,036.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.