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Finding the Third Proportional to 206,136 and 315,335.25

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Solution

The third proportional to 206,136 and 315,335.25 is: 482,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,136 : 315,335.25 = 315,335.25 : x
  2. Step 2: Convert to fraction form
    206,136/315,335.25 = 315,335.25/x
  3. Step 3: Cross multiply
    206,136x = 315,335.25 × 315,335.25
  4. Step 4: Simplify right side
    206,136x = 99,436,319,892.56
  5. Step 5: Solve for x
    x = 99,436,319,892.56/206,136
  6. Step 6: Final answer
    x = 482,382.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.