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Finding the Third Proportional to 52,440.75 and 114,193.13

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Solution

The third proportional to 52,440.75 and 114,193.13 is: 248,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,440.75 : 114,193.13 = 114,193.13 : x
  2. Step 2: Convert to fraction form
    52,440.75/114,193.13 = 114,193.13/x
  3. Step 3: Cross multiply
    52,440.75x = 114,193.13 × 114,193.13
  4. Step 4: Simplify right side
    52,440.75x = 13,040,069,797.27
  5. Step 5: Solve for x
    x = 13,040,069,797.27/52,440.75
  6. Step 6: Final answer
    x = 248,662.92

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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.