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Finding the Third Proportional to 129,473.50 and 198,721

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Solution

The third proportional to 129,473.50 and 198,721 is: 305,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,473.50 : 198,721 = 198,721 : x
  2. Step 2: Convert to fraction form
    129,473.50/198,721 = 198,721/x
  3. Step 3: Cross multiply
    129,473.50x = 198,721 × 198,721
  4. Step 4: Simplify right side
    129,473.50x = 39,490,035,841
  5. Step 5: Solve for x
    x = 39,490,035,841/129,473.50
  6. Step 6: Final answer
    x = 305,004.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.