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Finding the Third Proportional to 129,818 and 197,157

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Solution

The third proportional to 129,818 and 197,157 is: 299,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,818 : 197,157 = 197,157 : x
  2. Step 2: Convert to fraction form
    129,818/197,157 = 197,157/x
  3. Step 3: Cross multiply
    129,818x = 197,157 × 197,157
  4. Step 4: Simplify right side
    129,818x = 38,870,882,649
  5. Step 5: Solve for x
    x = 38,870,882,649/129,818
  6. Step 6: Final answer
    x = 299,425.99

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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.