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Finding the Third Proportional to 319,328 and 532,192

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Solution

The third proportional to 319,328 and 532,192 is: 886,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,328 : 532,192 = 532,192 : x
  2. Step 2: Convert to fraction form
    319,328/532,192 = 532,192/x
  3. Step 3: Cross multiply
    319,328x = 532,192 × 532,192
  4. Step 4: Simplify right side
    319,328x = 283,228,324,864
  5. Step 5: Solve for x
    x = 283,228,324,864/319,328
  6. Step 6: Final answer
    x = 886,951.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.