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Finding the Third Proportional to 5,439 and 8,842.50

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Solution

The third proportional to 5,439 and 8,842.50 is: 14,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439 : 8,842.50 = 8,842.50 : x
  2. Step 2: Convert to fraction form
    5,439/8,842.50 = 8,842.50/x
  3. Step 3: Cross multiply
    5,439x = 8,842.50 × 8,842.50
  4. Step 4: Simplify right side
    5,439x = 78,189,806.25
  5. Step 5: Solve for x
    x = 78,189,806.25/5,439
  6. Step 6: Final answer
    x = 14,375.77

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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.