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Finding the Third Proportional to 86,919 and 138,156

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Solution

The third proportional to 86,919 and 138,156 is: 219,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,919 : 138,156 = 138,156 : x
  2. Step 2: Convert to fraction form
    86,919/138,156 = 138,156/x
  3. Step 3: Cross multiply
    86,919x = 138,156 × 138,156
  4. Step 4: Simplify right side
    86,919x = 19,087,080,336
  5. Step 5: Solve for x
    x = 19,087,080,336/86,919
  6. Step 6: Final answer
    x = 219,596.18

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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.