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Finding the Third Proportional to 86,954 and 138,213

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Solution

The third proportional to 86,954 and 138,213 is: 219,688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,954 : 138,213 = 138,213 : x
  2. Step 2: Convert to fraction form
    86,954/138,213 = 138,213/x
  3. Step 3: Cross multiply
    86,954x = 138,213 × 138,213
  4. Step 4: Simplify right side
    86,954x = 19,102,833,369
  5. Step 5: Solve for x
    x = 19,102,833,369/86,954
  6. Step 6: Final answer
    x = 219,688.95

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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.