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Finding the Third Proportional to 210,780 and 321,422

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Solution

The third proportional to 210,780 and 321,422 is: 490,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,780 : 321,422 = 321,422 : x
  2. Step 2: Convert to fraction form
    210,780/321,422 = 321,422/x
  3. Step 3: Cross multiply
    210,780x = 321,422 × 321,422
  4. Step 4: Simplify right side
    210,780x = 103,312,102,084
  5. Step 5: Solve for x
    x = 103,312,102,084/210,780
  6. Step 6: Final answer
    x = 490,141.86

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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.