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Finding the Third Proportional to 259.49 and 511.78

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Solution

The third proportional to 259.49 and 511.78 is: 1,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.49 : 511.78 = 511.78 : x
  2. Step 2: Convert to fraction form
    259.49/511.78 = 511.78/x
  3. Step 3: Cross multiply
    259.49x = 511.78 × 511.78
  4. Step 4: Simplify right side
    259.49x = 261,915.92
  5. Step 5: Solve for x
    x = 261,915.92/259.49
  6. Step 6: Final answer
    x = 1,009.34

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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.