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Finding the Third Proportional to 9,504.75 and 23,113.88

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Solution

The third proportional to 9,504.75 and 23,113.88 is: 56,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.75 : 23,113.88 = 23,113.88 : x
  2. Step 2: Convert to fraction form
    9,504.75/23,113.88 = 23,113.88/x
  3. Step 3: Cross multiply
    9,504.75x = 23,113.88 × 23,113.88
  4. Step 4: Simplify right side
    9,504.75x = 534,251,217.52
  5. Step 5: Solve for x
    x = 534,251,217.52/9,504.75
  6. Step 6: Final answer
    x = 56,208.87

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.