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Finding the Third Proportional to 321,938.50 and 635,769.50

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Solution

The third proportional to 321,938.50 and 635,769.50 is: 1,255,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,938.50 : 635,769.50 = 635,769.50 : x
  2. Step 2: Convert to fraction form
    321,938.50/635,769.50 = 635,769.50/x
  3. Step 3: Cross multiply
    321,938.50x = 635,769.50 × 635,769.50
  4. Step 4: Simplify right side
    321,938.50x = 404,202,857,130.25
  5. Step 5: Solve for x
    x = 404,202,857,130.25/321,938.50
  6. Step 6: Final answer
    x = 1,255,528.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.