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Finding the Third Proportional to 9,439.98 and 23,168.53

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Solution

The third proportional to 9,439.98 and 23,168.53 is: 56,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439.98 : 23,168.53 = 23,168.53 : x
  2. Step 2: Convert to fraction form
    9,439.98/23,168.53 = 23,168.53/x
  3. Step 3: Cross multiply
    9,439.98x = 23,168.53 × 23,168.53
  4. Step 4: Simplify right side
    9,439.98x = 536,780,840.28
  5. Step 5: Solve for x
    x = 536,780,840.28/9,439.98
  6. Step 6: Final answer
    x = 56,862.49

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.