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Finding the Third Proportional to 210,779 and 321,441

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Solution

The third proportional to 210,779 and 321,441 is: 490,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,779 : 321,441 = 321,441 : x
  2. Step 2: Convert to fraction form
    210,779/321,441 = 321,441/x
  3. Step 3: Cross multiply
    210,779x = 321,441 × 321,441
  4. Step 4: Simplify right side
    210,779x = 103,324,316,481
  5. Step 5: Solve for x
    x = 103,324,316,481/210,779
  6. Step 6: Final answer
    x = 490,202.14

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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.