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Finding the Third Proportional to 572.06 and 878.34

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Solution

The third proportional to 572.06 and 878.34 is: 1,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.06 : 878.34 = 878.34 : x
  2. Step 2: Convert to fraction form
    572.06/878.34 = 878.34/x
  3. Step 3: Cross multiply
    572.06x = 878.34 × 878.34
  4. Step 4: Simplify right side
    572.06x = 771,487.74
  5. Step 5: Solve for x
    x = 771,487.74/572.06
  6. Step 6: Final answer
    x = 1,348.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.