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Finding the Third Proportional to 259,167 and 386,751

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Solution

The third proportional to 259,167 and 386,751 is: 577,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,167 : 386,751 = 386,751 : x
  2. Step 2: Convert to fraction form
    259,167/386,751 = 386,751/x
  3. Step 3: Cross multiply
    259,167x = 386,751 × 386,751
  4. Step 4: Simplify right side
    259,167x = 149,576,336,001
  5. Step 5: Solve for x
    x = 149,576,336,001/259,167
  6. Step 6: Final answer
    x = 577,142.68

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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.