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Finding the Third Proportional to 9,539.91 and 20,774.81

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Solution

The third proportional to 9,539.91 and 20,774.81 is: 45,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.91 : 20,774.81 = 20,774.81 : x
  2. Step 2: Convert to fraction form
    9,539.91/20,774.81 = 20,774.81/x
  3. Step 3: Cross multiply
    9,539.91x = 20,774.81 × 20,774.81
  4. Step 4: Simplify right side
    9,539.91x = 431,592,834.41
  5. Step 5: Solve for x
    x = 431,592,834.41/9,539.91
  6. Step 6: Final answer
    x = 45,240.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.