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Finding the Third Proportional to 210,780 and 321,424

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Solution

The third proportional to 210,780 and 321,424 is: 490,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,780 : 321,424 = 321,424 : x
  2. Step 2: Convert to fraction form
    210,780/321,424 = 321,424/x
  3. Step 3: Cross multiply
    210,780x = 321,424 × 321,424
  4. Step 4: Simplify right side
    210,780x = 103,313,387,776
  5. Step 5: Solve for x
    x = 103,313,387,776/210,780
  6. Step 6: Final answer
    x = 490,147.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.