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Finding the Third Proportional to 264.20 and 545.17

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Solution

The third proportional to 264.20 and 545.17 is: 1,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.20 : 545.17 = 545.17 : x
  2. Step 2: Convert to fraction form
    264.20/545.17 = 545.17/x
  3. Step 3: Cross multiply
    264.20x = 545.17 × 545.17
  4. Step 4: Simplify right side
    264.20x = 297,208.11
  5. Step 5: Solve for x
    x = 297,208.11/264.20
  6. Step 6: Final answer
    x = 1,124.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.