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Finding the Third Proportional to 64,877 and 138,124

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Solution

The third proportional to 64,877 and 138,124 is: 294,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,877 : 138,124 = 138,124 : x
  2. Step 2: Convert to fraction form
    64,877/138,124 = 138,124/x
  3. Step 3: Cross multiply
    64,877x = 138,124 × 138,124
  4. Step 4: Simplify right side
    64,877x = 19,078,239,376
  5. Step 5: Solve for x
    x = 19,078,239,376/64,877
  6. Step 6: Final answer
    x = 294,067.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.