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Finding the Third Proportional to 254.87 and 557.43

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Solution

The third proportional to 254.87 and 557.43 is: 1,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.87 : 557.43 = 557.43 : x
  2. Step 2: Convert to fraction form
    254.87/557.43 = 557.43/x
  3. Step 3: Cross multiply
    254.87x = 557.43 × 557.43
  4. Step 4: Simplify right side
    254.87x = 310,726.77
  5. Step 5: Solve for x
    x = 310,726.77/254.87
  6. Step 6: Final answer
    x = 1,219.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.