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Finding the Third Proportional to 8,157 and 12,439.50

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Solution

The third proportional to 8,157 and 12,439.50 is: 18,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157 : 12,439.50 = 12,439.50 : x
  2. Step 2: Convert to fraction form
    8,157/12,439.50 = 12,439.50/x
  3. Step 3: Cross multiply
    8,157x = 12,439.50 × 12,439.50
  4. Step 4: Simplify right side
    8,157x = 154,741,160.25
  5. Step 5: Solve for x
    x = 154,741,160.25/8,157
  6. Step 6: Final answer
    x = 18,970.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.