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Finding the Third Proportional to 333.13 and 731.63

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Solution

The third proportional to 333.13 and 731.63 is: 1,606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.13 : 731.63 = 731.63 : x
  2. Step 2: Convert to fraction form
    333.13/731.63 = 731.63/x
  3. Step 3: Cross multiply
    333.13x = 731.63 × 731.63
  4. Step 4: Simplify right side
    333.13x = 535,275.14
  5. Step 5: Solve for x
    x = 535,275.14/333.13
  6. Step 6: Final answer
    x = 1,606.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.