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Finding the Third Proportional to 342.56 and 729.84

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Solution

The third proportional to 342.56 and 729.84 is: 1,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.56 : 729.84 = 729.84 : x
  2. Step 2: Convert to fraction form
    342.56/729.84 = 729.84/x
  3. Step 3: Cross multiply
    342.56x = 729.84 × 729.84
  4. Step 4: Simplify right side
    342.56x = 532,671.90
  5. Step 5: Solve for x
    x = 532,671.90/342.56
  6. Step 6: Final answer
    x = 1,554.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.