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Finding the Third Proportional to 401.75 and 724.75

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Solution

The third proportional to 401.75 and 724.75 is: 1,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.75 : 724.75 = 724.75 : x
  2. Step 2: Convert to fraction form
    401.75/724.75 = 724.75/x
  3. Step 3: Cross multiply
    401.75x = 724.75 × 724.75
  4. Step 4: Simplify right side
    401.75x = 525,262.56
  5. Step 5: Solve for x
    x = 525,262.56/401.75
  6. Step 6: Final answer
    x = 1,307.44

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.