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Finding the Third Proportional to 5,409 and 8,831

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Solution

The third proportional to 5,409 and 8,831 is: 14,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409 : 8,831 = 8,831 : x
  2. Step 2: Convert to fraction form
    5,409/8,831 = 8,831/x
  3. Step 3: Cross multiply
    5,409x = 8,831 × 8,831
  4. Step 4: Simplify right side
    5,409x = 77,986,561
  5. Step 5: Solve for x
    x = 77,986,561/5,409
  6. Step 6: Final answer
    x = 14,417.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.