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Finding the Third Proportional to 321,040 and 490,108

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Solution

The third proportional to 321,040 and 490,108 is: 748,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,040 : 490,108 = 490,108 : x
  2. Step 2: Convert to fraction form
    321,040/490,108 = 490,108/x
  3. Step 3: Cross multiply
    321,040x = 490,108 × 490,108
  4. Step 4: Simplify right side
    321,040x = 240,205,851,664
  5. Step 5: Solve for x
    x = 240,205,851,664/321,040
  6. Step 6: Final answer
    x = 748,211.60

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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.