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Finding the Third Proportional to 1,259 and 2,587

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Solution

The third proportional to 1,259 and 2,587 is: 5,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259 : 2,587 = 2,587 : x
  2. Step 2: Convert to fraction form
    1,259/2,587 = 2,587/x
  3. Step 3: Cross multiply
    1,259x = 2,587 × 2,587
  4. Step 4: Simplify right side
    1,259x = 6,692,569
  5. Step 5: Solve for x
    x = 6,692,569/1,259
  6. Step 6: Final answer
    x = 5,315.78

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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.