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Finding the Third Proportional to 206,478.56 and 290,772.56

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Solution

The third proportional to 206,478.56 and 290,772.56 is: 409,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,478.56 : 290,772.56 = 290,772.56 : x
  2. Step 2: Convert to fraction form
    206,478.56/290,772.56 = 290,772.56/x
  3. Step 3: Cross multiply
    206,478.56x = 290,772.56 × 290,772.56
  4. Step 4: Simplify right side
    206,478.56x = 84,548,683,102.82
  5. Step 5: Solve for x
    x = 84,548,683,102.82/206,478.56
  6. Step 6: Final answer
    x = 409,479.23

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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.