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Finding the Third Proportional to 182,508 and 390,231

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Solution

The third proportional to 182,508 and 390,231 is: 834,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,508 : 390,231 = 390,231 : x
  2. Step 2: Convert to fraction form
    182,508/390,231 = 390,231/x
  3. Step 3: Cross multiply
    182,508x = 390,231 × 390,231
  4. Step 4: Simplify right side
    182,508x = 152,280,233,361
  5. Step 5: Solve for x
    x = 152,280,233,361/182,508
  6. Step 6: Final answer
    x = 834,375.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.