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Finding the Third Proportional to 9,005 and 13,631.50

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Solution

The third proportional to 9,005 and 13,631.50 is: 20,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005 : 13,631.50 = 13,631.50 : x
  2. Step 2: Convert to fraction form
    9,005/13,631.50 = 13,631.50/x
  3. Step 3: Cross multiply
    9,005x = 13,631.50 × 13,631.50
  4. Step 4: Simplify right side
    9,005x = 185,817,792.25
  5. Step 5: Solve for x
    x = 185,817,792.25/9,005
  6. Step 6: Final answer
    x = 20,634.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.