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Finding the Third Proportional to 86,031 and 185,243

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Solution

The third proportional to 86,031 and 185,243 is: 398,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,031 : 185,243 = 185,243 : x
  2. Step 2: Convert to fraction form
    86,031/185,243 = 185,243/x
  3. Step 3: Cross multiply
    86,031x = 185,243 × 185,243
  4. Step 4: Simplify right side
    86,031x = 34,314,969,049
  5. Step 5: Solve for x
    x = 34,314,969,049/86,031
  6. Step 6: Final answer
    x = 398,867.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.