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Finding the Third Proportional to 12,440.25 and 16,159.50

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Solution

The third proportional to 12,440.25 and 16,159.50 is: 20,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440.25 : 16,159.50 = 16,159.50 : x
  2. Step 2: Convert to fraction form
    12,440.25/16,159.50 = 16,159.50/x
  3. Step 3: Cross multiply
    12,440.25x = 16,159.50 × 16,159.50
  4. Step 4: Simplify right side
    12,440.25x = 261,129,440.25
  5. Step 5: Solve for x
    x = 261,129,440.25/12,440.25
  6. Step 6: Final answer
    x = 20,990.69

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.