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Finding the Third Proportional to 138,136 and 305,308

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Solution

The third proportional to 138,136 and 305,308 is: 674,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,136 : 305,308 = 305,308 : x
  2. Step 2: Convert to fraction form
    138,136/305,308 = 305,308/x
  3. Step 3: Cross multiply
    138,136x = 305,308 × 305,308
  4. Step 4: Simplify right side
    138,136x = 93,212,974,864
  5. Step 5: Solve for x
    x = 93,212,974,864/138,136
  6. Step 6: Final answer
    x = 674,791.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.