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Finding the Third Proportional to 138,204 and 290,334

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Solution

The third proportional to 138,204 and 290,334 is: 609,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,204 : 290,334 = 290,334 : x
  2. Step 2: Convert to fraction form
    138,204/290,334 = 290,334/x
  3. Step 3: Cross multiply
    138,204x = 290,334 × 290,334
  4. Step 4: Simplify right side
    138,204x = 84,293,831,556
  5. Step 5: Solve for x
    x = 84,293,831,556/138,204
  6. Step 6: Final answer
    x = 609,923.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.