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Finding the Third Proportional to 545.91 and 1,155.94

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Solution

The third proportional to 545.91 and 1,155.94 is: 2,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.91 : 1,155.94 = 1,155.94 : x
  2. Step 2: Convert to fraction form
    545.91/1,155.94 = 1,155.94/x
  3. Step 3: Cross multiply
    545.91x = 1,155.94 × 1,155.94
  4. Step 4: Simplify right side
    545.91x = 1,336,191.50
  5. Step 5: Solve for x
    x = 1,336,191.50/545.91
  6. Step 6: Final answer
    x = 2,447.66

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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.