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Finding the Third Proportional to 138,333 and 208,755

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Solution

The third proportional to 138,333 and 208,755 is: 315,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,333 : 208,755 = 208,755 : x
  2. Step 2: Convert to fraction form
    138,333/208,755 = 208,755/x
  3. Step 3: Cross multiply
    138,333x = 208,755 × 208,755
  4. Step 4: Simplify right side
    138,333x = 43,578,650,025
  5. Step 5: Solve for x
    x = 43,578,650,025/138,333
  6. Step 6: Final answer
    x = 315,027.14

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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.