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Finding the Third Proportional to 18,328 and 28,586.50

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Solution

The third proportional to 18,328 and 28,586.50 is: 44,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,328 : 28,586.50 = 28,586.50 : x
  2. Step 2: Convert to fraction form
    18,328/28,586.50 = 28,586.50/x
  3. Step 3: Cross multiply
    18,328x = 28,586.50 × 28,586.50
  4. Step 4: Simplify right side
    18,328x = 817,187,982.25
  5. Step 5: Solve for x
    x = 817,187,982.25/18,328
  6. Step 6: Final answer
    x = 44,586.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.