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Finding the Third Proportional to 129,672 and 197,173

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Solution

The third proportional to 129,672 and 197,173 is: 299,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,672 : 197,173 = 197,173 : x
  2. Step 2: Convert to fraction form
    129,672/197,173 = 197,173/x
  3. Step 3: Cross multiply
    129,672x = 197,173 × 197,173
  4. Step 4: Simplify right side
    129,672x = 38,877,191,929
  5. Step 5: Solve for x
    x = 38,877,191,929/129,672
  6. Step 6: Final answer
    x = 299,811.77

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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.