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Finding the Third Proportional to 149,290 and 328,099

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Solution

The third proportional to 149,290 and 328,099 is: 721,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,290 : 328,099 = 328,099 : x
  2. Step 2: Convert to fraction form
    149,290/328,099 = 328,099/x
  3. Step 3: Cross multiply
    149,290x = 328,099 × 328,099
  4. Step 4: Simplify right side
    149,290x = 107,648,953,801
  5. Step 5: Solve for x
    x = 107,648,953,801/149,290
  6. Step 6: Final answer
    x = 721,072.77

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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.