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Finding the Third Proportional to 5,043 and 12,535.50

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Solution

The third proportional to 5,043 and 12,535.50 is: 31,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043 : 12,535.50 = 12,535.50 : x
  2. Step 2: Convert to fraction form
    5,043/12,535.50 = 12,535.50/x
  3. Step 3: Cross multiply
    5,043x = 12,535.50 × 12,535.50
  4. Step 4: Simplify right side
    5,043x = 157,138,760.25
  5. Step 5: Solve for x
    x = 157,138,760.25/5,043
  6. Step 6: Final answer
    x = 31,159.78

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.