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Finding the Third Proportional to 11,315 and 14,879

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Solution

The third proportional to 11,315 and 14,879 is: 19,565.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315 : 14,879 = 14,879 : x
  2. Step 2: Convert to fraction form
    11,315/14,879 = 14,879/x
  3. Step 3: Cross multiply
    11,315x = 14,879 × 14,879
  4. Step 4: Simplify right side
    11,315x = 221,384,641
  5. Step 5: Solve for x
    x = 221,384,641/11,315
  6. Step 6: Final answer
    x = 19,565.59

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.