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Finding the Third Proportional to 210,781 and 321,444

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Solution

The third proportional to 210,781 and 321,444 is: 490,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,781 : 321,444 = 321,444 : x
  2. Step 2: Convert to fraction form
    210,781/321,444 = 321,444/x
  3. Step 3: Cross multiply
    210,781x = 321,444 × 321,444
  4. Step 4: Simplify right side
    210,781x = 103,326,245,136
  5. Step 5: Solve for x
    x = 103,326,245,136/210,781
  6. Step 6: Final answer
    x = 490,206.64

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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.