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Finding the Third Proportional to 129,818 and 197,163

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Solution

The third proportional to 129,818 and 197,163 is: 299,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,818 : 197,163 = 197,163 : x
  2. Step 2: Convert to fraction form
    129,818/197,163 = 197,163/x
  3. Step 3: Cross multiply
    129,818x = 197,163 × 197,163
  4. Step 4: Simplify right side
    129,818x = 38,873,248,569
  5. Step 5: Solve for x
    x = 38,873,248,569/129,818
  6. Step 6: Final answer
    x = 299,444.21

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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.