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Finding the Third Proportional to 129,908 and 158,248

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Solution

The third proportional to 129,908 and 158,248 is: 192,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,908 : 158,248 = 158,248 : x
  2. Step 2: Convert to fraction form
    129,908/158,248 = 158,248/x
  3. Step 3: Cross multiply
    129,908x = 158,248 × 158,248
  4. Step 4: Simplify right side
    129,908x = 25,042,429,504
  5. Step 5: Solve for x
    x = 25,042,429,504/129,908
  6. Step 6: Final answer
    x = 192,770.50

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.