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Finding the Third Proportional to 357.12 and 553.92

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Solution

The third proportional to 357.12 and 553.92 is: 859.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.12 : 553.92 = 553.92 : x
  2. Step 2: Convert to fraction form
    357.12/553.92 = 553.92/x
  3. Step 3: Cross multiply
    357.12x = 553.92 × 553.92
  4. Step 4: Simplify right side
    357.12x = 306,829.44
  5. Step 5: Solve for x
    x = 306,829.44/357.12
  6. Step 6: Final answer
    x = 859.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.