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Finding the Third Proportional to 8,579 and 11,587

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Solution

The third proportional to 8,579 and 11,587 is: 15,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,579 : 11,587 = 11,587 : x
  2. Step 2: Convert to fraction form
    8,579/11,587 = 11,587/x
  3. Step 3: Cross multiply
    8,579x = 11,587 × 11,587
  4. Step 4: Simplify right side
    8,579x = 134,258,569
  5. Step 5: Solve for x
    x = 134,258,569/8,579
  6. Step 6: Final answer
    x = 15,649.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.