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Finding the Third Proportional to 149,658.75 and 220,111.88

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Solution

The third proportional to 149,658.75 and 220,111.88 is: 323,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,658.75 : 220,111.88 = 220,111.88 : x
  2. Step 2: Convert to fraction form
    149,658.75/220,111.88 = 220,111.88/x
  3. Step 3: Cross multiply
    149,658.75x = 220,111.88 × 220,111.88
  4. Step 4: Simplify right side
    149,658.75x = 48,449,237,516.02
  5. Step 5: Solve for x
    x = 48,449,237,516.02/149,658.75
  6. Step 6: Final answer
    x = 323,731.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.