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Finding the Third Proportional to 57,642.75 and 122,116.50

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Solution

The third proportional to 57,642.75 and 122,116.50 is: 258,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,642.75 : 122,116.50 = 122,116.50 : x
  2. Step 2: Convert to fraction form
    57,642.75/122,116.50 = 122,116.50/x
  3. Step 3: Cross multiply
    57,642.75x = 122,116.50 × 122,116.50
  4. Step 4: Simplify right side
    57,642.75x = 14,912,439,572.25
  5. Step 5: Solve for x
    x = 14,912,439,572.25/57,642.75
  6. Step 6: Final answer
    x = 258,704.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.