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Finding the Third Proportional to 259.49 and 557.43

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Solution

The third proportional to 259.49 and 557.43 is: 1,197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.49 : 557.43 = 557.43 : x
  2. Step 2: Convert to fraction form
    259.49/557.43 = 557.43/x
  3. Step 3: Cross multiply
    259.49x = 557.43 × 557.43
  4. Step 4: Simplify right side
    259.49x = 310,726.77
  5. Step 5: Solve for x
    x = 310,726.77/259.49
  6. Step 6: Final answer
    x = 1,197.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.