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Finding the Third Proportional to 149,290 and 328,100

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Solution

The third proportional to 149,290 and 328,100 is: 721,077.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,290 : 328,100 = 328,100 : x
  2. Step 2: Convert to fraction form
    149,290/328,100 = 328,100/x
  3. Step 3: Cross multiply
    149,290x = 328,100 × 328,100
  4. Step 4: Simplify right side
    149,290x = 107,649,610,000
  5. Step 5: Solve for x
    x = 107,649,610,000/149,290
  6. Step 6: Final answer
    x = 721,077.17

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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.