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Finding the Third Proportional to 206,515.50 and 290,810.25

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Solution

The third proportional to 206,515.50 and 290,810.25 is: 409,512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,515.50 : 290,810.25 = 290,810.25 : x
  2. Step 2: Convert to fraction form
    206,515.50/290,810.25 = 290,810.25/x
  3. Step 3: Cross multiply
    206,515.50x = 290,810.25 × 290,810.25
  4. Step 4: Simplify right side
    206,515.50x = 84,570,601,505.06
  5. Step 5: Solve for x
    x = 84,570,601,505.06/206,515.50
  6. Step 6: Final answer
    x = 409,512.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.