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Finding the Third Proportional to 206,529.75 and 290,820.38

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Solution

The third proportional to 206,529.75 and 290,820.38 is: 409,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,529.75 : 290,820.38 = 290,820.38 : x
  2. Step 2: Convert to fraction form
    206,529.75/290,820.38 = 290,820.38/x
  3. Step 3: Cross multiply
    206,529.75x = 290,820.38 × 290,820.38
  4. Step 4: Simplify right side
    206,529.75x = 84,576,490,515.14
  5. Step 5: Solve for x
    x = 84,576,490,515.14/206,529.75
  6. Step 6: Final answer
    x = 409,512.39

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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.