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Finding the Third Proportional to 259.50 and 511.50

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Solution

The third proportional to 259.50 and 511.50 is: 1,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.50 : 511.50 = 511.50 : x
  2. Step 2: Convert to fraction form
    259.50/511.50 = 511.50/x
  3. Step 3: Cross multiply
    259.50x = 511.50 × 511.50
  4. Step 4: Simplify right side
    259.50x = 261,632.25
  5. Step 5: Solve for x
    x = 261,632.25/259.50
  6. Step 6: Final answer
    x = 1,008.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.