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Finding the Third Proportional to 136,920 and 210,366

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Solution

The third proportional to 136,920 and 210,366 is: 323,209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,920 : 210,366 = 210,366 : x
  2. Step 2: Convert to fraction form
    136,920/210,366 = 210,366/x
  3. Step 3: Cross multiply
    136,920x = 210,366 × 210,366
  4. Step 4: Simplify right side
    136,920x = 44,253,853,956
  5. Step 5: Solve for x
    x = 44,253,853,956/136,920
  6. Step 6: Final answer
    x = 323,209.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.