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Finding the Third Proportional to 557.81 and 851.53

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Solution

The third proportional to 557.81 and 851.53 is: 1,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.81 : 851.53 = 851.53 : x
  2. Step 2: Convert to fraction form
    557.81/851.53 = 851.53/x
  3. Step 3: Cross multiply
    557.81x = 851.53 × 851.53
  4. Step 4: Simplify right side
    557.81x = 725,105.47
  5. Step 5: Solve for x
    x = 725,105.47/557.81
  6. Step 6: Final answer
    x = 1,299.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.