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Finding the Third Proportional to 321,259.50 and 422,194.50

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Solution

The third proportional to 321,259.50 and 422,194.50 is: 554,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,259.50 : 422,194.50 = 422,194.50 : x
  2. Step 2: Convert to fraction form
    321,259.50/422,194.50 = 422,194.50/x
  3. Step 3: Cross multiply
    321,259.50x = 422,194.50 × 422,194.50
  4. Step 4: Simplify right side
    321,259.50x = 178,248,195,830.25
  5. Step 5: Solve for x
    x = 178,248,195,830.25/321,259.50
  6. Step 6: Final answer
    x = 554,841.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.