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Finding the Third Proportional to 138,532 and 208,806

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Solution

The third proportional to 138,532 and 208,806 is: 314,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,532 : 208,806 = 208,806 : x
  2. Step 2: Convert to fraction form
    138,532/208,806 = 208,806/x
  3. Step 3: Cross multiply
    138,532x = 208,806 × 208,806
  4. Step 4: Simplify right side
    138,532x = 43,599,945,636
  5. Step 5: Solve for x
    x = 43,599,945,636/138,532
  6. Step 6: Final answer
    x = 314,728.33

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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.