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Finding the Third Proportional to 149,288 and 328,096

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Solution

The third proportional to 149,288 and 328,096 is: 721,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,288 : 328,096 = 328,096 : x
  2. Step 2: Convert to fraction form
    149,288/328,096 = 328,096/x
  3. Step 3: Cross multiply
    149,288x = 328,096 × 328,096
  4. Step 4: Simplify right side
    149,288x = 107,646,985,216
  5. Step 5: Solve for x
    x = 107,646,985,216/149,288
  6. Step 6: Final answer
    x = 721,069.24

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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.