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Finding the Third Proportional to 321,148 and 490,100

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Solution

The third proportional to 321,148 and 490,100 is: 747,935.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,148 : 490,100 = 490,100 : x
  2. Step 2: Convert to fraction form
    321,148/490,100 = 490,100/x
  3. Step 3: Cross multiply
    321,148x = 490,100 × 490,100
  4. Step 4: Simplify right side
    321,148x = 240,198,010,000
  5. Step 5: Solve for x
    x = 240,198,010,000/321,148
  6. Step 6: Final answer
    x = 747,935.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.