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Finding the Third Proportional to 13,340.25 and 30,883.50

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Solution

The third proportional to 13,340.25 and 30,883.50 is: 71,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,340.25 : 30,883.50 = 30,883.50 : x
  2. Step 2: Convert to fraction form
    13,340.25/30,883.50 = 30,883.50/x
  3. Step 3: Cross multiply
    13,340.25x = 30,883.50 × 30,883.50
  4. Step 4: Simplify right side
    13,340.25x = 953,790,572.25
  5. Step 5: Solve for x
    x = 953,790,572.25/13,340.25
  6. Step 6: Final answer
    x = 71,497.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.