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Finding the Third Proportional to 266.18 and 545.65

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Solution

The third proportional to 266.18 and 545.65 is: 1,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.18 : 545.65 = 545.65 : x
  2. Step 2: Convert to fraction form
    266.18/545.65 = 545.65/x
  3. Step 3: Cross multiply
    266.18x = 545.65 × 545.65
  4. Step 4: Simplify right side
    266.18x = 297,728.52
  5. Step 5: Solve for x
    x = 297,728.52/266.18
  6. Step 6: Final answer
    x = 1,118.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.