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Finding the Third Proportional to 86,716.50 and 189,309

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Solution

The third proportional to 86,716.50 and 189,309 is: 413,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,716.50 : 189,309 = 189,309 : x
  2. Step 2: Convert to fraction form
    86,716.50/189,309 = 189,309/x
  3. Step 3: Cross multiply
    86,716.50x = 189,309 × 189,309
  4. Step 4: Simplify right side
    86,716.50x = 35,837,897,481
  5. Step 5: Solve for x
    x = 35,837,897,481/86,716.50
  6. Step 6: Final answer
    x = 413,276.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.