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Finding the Third Proportional to 309.80 and 731.11

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Solution

The third proportional to 309.80 and 731.11 is: 1,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 731.11 = 731.11 : x
  2. Step 2: Convert to fraction form
    309.80/731.11 = 731.11/x
  3. Step 3: Cross multiply
    309.80x = 731.11 × 731.11
  4. Step 4: Simplify right side
    309.80x = 534,520.92
  5. Step 5: Solve for x
    x = 534,520.92/309.80
  6. Step 6: Final answer
    x = 1,725.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.