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Finding the Third Proportional to 261.99 and 545.55

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Solution

The third proportional to 261.99 and 545.55 is: 1,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.99 : 545.55 = 545.55 : x
  2. Step 2: Convert to fraction form
    261.99/545.55 = 545.55/x
  3. Step 3: Cross multiply
    261.99x = 545.55 × 545.55
  4. Step 4: Simplify right side
    261.99x = 297,621.39
  5. Step 5: Solve for x
    x = 297,621.39/261.99
  6. Step 6: Final answer
    x = 1,135.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.