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Finding the Third Proportional to 55,372.50 and 121,816.50

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Solution

The third proportional to 55,372.50 and 121,816.50 is: 267,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,372.50 : 121,816.50 = 121,816.50 : x
  2. Step 2: Convert to fraction form
    55,372.50/121,816.50 = 121,816.50/x
  3. Step 3: Cross multiply
    55,372.50x = 121,816.50 × 121,816.50
  4. Step 4: Simplify right side
    55,372.50x = 14,839,259,672.25
  5. Step 5: Solve for x
    x = 14,839,259,672.25/55,372.50
  6. Step 6: Final answer
    x = 267,989.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.