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Finding the Third Proportional to 129,674 and 197,176

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Solution

The third proportional to 129,674 and 197,176 is: 299,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,674 : 197,176 = 197,176 : x
  2. Step 2: Convert to fraction form
    129,674/197,176 = 197,176/x
  3. Step 3: Cross multiply
    129,674x = 197,176 × 197,176
  4. Step 4: Simplify right side
    129,674x = 38,878,374,976
  5. Step 5: Solve for x
    x = 38,878,374,976/129,674
  6. Step 6: Final answer
    x = 299,816.27

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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.