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Finding the Third Proportional to 259.49 and 531.80

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Solution

The third proportional to 259.49 and 531.80 is: 1,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.49 : 531.80 = 531.80 : x
  2. Step 2: Convert to fraction form
    259.49/531.80 = 531.80/x
  3. Step 3: Cross multiply
    259.49x = 531.80 × 531.80
  4. Step 4: Simplify right side
    259.49x = 282,811.03
  5. Step 5: Solve for x
    x = 282,811.03/259.49
  6. Step 6: Final answer
    x = 1,089.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.