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Finding the Third Proportional to 474.56 and 545.44

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Solution

The third proportional to 474.56 and 545.44 is: 626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.56 : 545.44 = 545.44 : x
  2. Step 2: Convert to fraction form
    474.56/545.44 = 545.44/x
  3. Step 3: Cross multiply
    474.56x = 545.44 × 545.44
  4. Step 4: Simplify right side
    474.56x = 297,502.07
  5. Step 5: Solve for x
    x = 297,502.07/474.56
  6. Step 6: Final answer
    x = 626.90

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.