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Finding the Third Proportional to 9,438 and 20,000.25

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Solution

The third proportional to 9,438 and 20,000.25 is: 42,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438 : 20,000.25 = 20,000.25 : x
  2. Step 2: Convert to fraction form
    9,438/20,000.25 = 20,000.25/x
  3. Step 3: Cross multiply
    9,438x = 20,000.25 × 20,000.25
  4. Step 4: Simplify right side
    9,438x = 400,010,000.06
  5. Step 5: Solve for x
    x = 400,010,000.06/9,438
  6. Step 6: Final answer
    x = 42,382.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.