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Finding the Third Proportional to 90,302 and 207,683

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Solution

The third proportional to 90,302 and 207,683 is: 477,644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,302 : 207,683 = 207,683 : x
  2. Step 2: Convert to fraction form
    90,302/207,683 = 207,683/x
  3. Step 3: Cross multiply
    90,302x = 207,683 × 207,683
  4. Step 4: Simplify right side
    90,302x = 43,132,228,489
  5. Step 5: Solve for x
    x = 43,132,228,489/90,302
  6. Step 6: Final answer
    x = 477,644.22

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.