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Finding the Third Proportional to 86,321 and 137,413

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Solution

The third proportional to 86,321 and 137,413 is: 218,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,321 : 137,413 = 137,413 : x
  2. Step 2: Convert to fraction form
    86,321/137,413 = 137,413/x
  3. Step 3: Cross multiply
    86,321x = 137,413 × 137,413
  4. Step 4: Simplify right side
    86,321x = 18,882,332,569
  5. Step 5: Solve for x
    x = 18,882,332,569/86,321
  6. Step 6: Final answer
    x = 218,745.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.