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Finding the Third Proportional to 557.19 and 1,178.61

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Solution

The third proportional to 557.19 and 1,178.61 is: 2,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.19 : 1,178.61 = 1,178.61 : x
  2. Step 2: Convert to fraction form
    557.19/1,178.61 = 1,178.61/x
  3. Step 3: Cross multiply
    557.19x = 1,178.61 × 1,178.61
  4. Step 4: Simplify right side
    557.19x = 1,389,129.27
  5. Step 5: Solve for x
    x = 1,389,129.27/557.19
  6. Step 6: Final answer
    x = 2,493.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.