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Finding the Third Proportional to 742.88 and 820.88

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Solution

The third proportional to 742.88 and 820.88 is: 907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.88 : 820.88 = 820.88 : x
  2. Step 2: Convert to fraction form
    742.88/820.88 = 820.88/x
  3. Step 3: Cross multiply
    742.88x = 820.88 × 820.88
  4. Step 4: Simplify right side
    742.88x = 673,835.77
  5. Step 5: Solve for x
    x = 673,835.77/742.88
  6. Step 6: Final answer
    x = 907.06

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.