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Finding the Third Proportional to 545.80 and 1,288.09

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Solution

The third proportional to 545.80 and 1,288.09 is: 3,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.80 : 1,288.09 = 1,288.09 : x
  2. Step 2: Convert to fraction form
    545.80/1,288.09 = 1,288.09/x
  3. Step 3: Cross multiply
    545.80x = 1,288.09 × 1,288.09
  4. Step 4: Simplify right side
    545.80x = 1,659,175.45
  5. Step 5: Solve for x
    x = 1,659,175.45/545.80
  6. Step 6: Final answer
    x = 3,039.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.