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Finding the Third Proportional to 138,432 and 210,384

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Solution

The third proportional to 138,432 and 210,384 is: 319,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,432 : 210,384 = 210,384 : x
  2. Step 2: Convert to fraction form
    138,432/210,384 = 210,384/x
  3. Step 3: Cross multiply
    138,432x = 210,384 × 210,384
  4. Step 4: Simplify right side
    138,432x = 44,261,427,456
  5. Step 5: Solve for x
    x = 44,261,427,456/138,432
  6. Step 6: Final answer
    x = 319,734.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.