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Finding the Third Proportional to 9,930 and 13,639.50

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Solution

The third proportional to 9,930 and 13,639.50 is: 18,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930 : 13,639.50 = 13,639.50 : x
  2. Step 2: Convert to fraction form
    9,930/13,639.50 = 13,639.50/x
  3. Step 3: Cross multiply
    9,930x = 13,639.50 × 13,639.50
  4. Step 4: Simplify right side
    9,930x = 186,035,960.25
  5. Step 5: Solve for x
    x = 186,035,960.25/9,930
  6. Step 6: Final answer
    x = 18,734.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.