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Finding the Third Proportional to 206,412.75 and 290,675.25

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Solution

The third proportional to 206,412.75 and 290,675.25 is: 409,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.75 : 290,675.25 = 290,675.25 : x
  2. Step 2: Convert to fraction form
    206,412.75/290,675.25 = 290,675.25/x
  3. Step 3: Cross multiply
    206,412.75x = 290,675.25 × 290,675.25
  4. Step 4: Simplify right side
    206,412.75x = 84,492,100,962.56
  5. Step 5: Solve for x
    x = 84,492,100,962.56/206,412.75
  6. Step 6: Final answer
    x = 409,335.67

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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.