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Finding the Third Proportional to 15,855.75 and 34,479

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Solution

The third proportional to 15,855.75 and 34,479 is: 74,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.75 : 34,479 = 34,479 : x
  2. Step 2: Convert to fraction form
    15,855.75/34,479 = 34,479/x
  3. Step 3: Cross multiply
    15,855.75x = 34,479 × 34,479
  4. Step 4: Simplify right side
    15,855.75x = 1,188,801,441
  5. Step 5: Solve for x
    x = 1,188,801,441/15,855.75
  6. Step 6: Final answer
    x = 74,976.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.