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Finding the Third Proportional to 259.69 and 545.81

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Solution

The third proportional to 259.69 and 545.81 is: 1,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.69 : 545.81 = 545.81 : x
  2. Step 2: Convert to fraction form
    259.69/545.81 = 545.81/x
  3. Step 3: Cross multiply
    259.69x = 545.81 × 545.81
  4. Step 4: Simplify right side
    259.69x = 297,911.29
  5. Step 5: Solve for x
    x = 297,911.29/259.69
  6. Step 6: Final answer
    x = 1,147.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.