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Finding the Third Proportional to 129,813 and 197,156

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Solution

The third proportional to 129,813 and 197,156 is: 299,434.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,813 : 197,156 = 197,156 : x
  2. Step 2: Convert to fraction form
    129,813/197,156 = 197,156/x
  3. Step 3: Cross multiply
    129,813x = 197,156 × 197,156
  4. Step 4: Simplify right side
    129,813x = 38,870,488,336
  5. Step 5: Solve for x
    x = 38,870,488,336/129,813
  6. Step 6: Final answer
    x = 299,434.48

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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.