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Finding the Third Proportional to 138,877 and 298,471

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Solution

The third proportional to 138,877 and 298,471 is: 641,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,877 : 298,471 = 298,471 : x
  2. Step 2: Convert to fraction form
    138,877/298,471 = 298,471/x
  3. Step 3: Cross multiply
    138,877x = 298,471 × 298,471
  4. Step 4: Simplify right side
    138,877x = 89,084,937,841
  5. Step 5: Solve for x
    x = 89,084,937,841/138,877
  6. Step 6: Final answer
    x = 641,466.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.