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Finding the Third Proportional to 138,235 and 208,619

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Solution

The third proportional to 138,235 and 208,619 is: 314,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,235 : 208,619 = 208,619 : x
  2. Step 2: Convert to fraction form
    138,235/208,619 = 208,619/x
  3. Step 3: Cross multiply
    138,235x = 208,619 × 208,619
  4. Step 4: Simplify right side
    138,235x = 43,521,887,161
  5. Step 5: Solve for x
    x = 43,521,887,161/138,235
  6. Step 6: Final answer
    x = 314,839.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.