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Finding the Third Proportional to 4,009.50 and 5,639.63

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Solution

The third proportional to 4,009.50 and 5,639.63 is: 7,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.50 : 5,639.63 = 5,639.63 : x
  2. Step 2: Convert to fraction form
    4,009.50/5,639.63 = 5,639.63/x
  3. Step 3: Cross multiply
    4,009.50x = 5,639.63 × 5,639.63
  4. Step 4: Simplify right side
    4,009.50x = 31,805,370.14
  5. Step 5: Solve for x
    x = 31,805,370.14/4,009.50
  6. Step 6: Final answer
    x = 7,932.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.