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Finding the Third Proportional to 345.66 and 731.81

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Solution

The third proportional to 345.66 and 731.81 is: 1,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.66 : 731.81 = 731.81 : x
  2. Step 2: Convert to fraction form
    345.66/731.81 = 731.81/x
  3. Step 3: Cross multiply
    345.66x = 731.81 × 731.81
  4. Step 4: Simplify right side
    345.66x = 535,549.54
  5. Step 5: Solve for x
    x = 535,549.54/345.66
  6. Step 6: Final answer
    x = 1,549.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.