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Finding the Third Proportional to 61,908 and 138,036

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Solution

The third proportional to 61,908 and 138,036 is: 307,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,908 : 138,036 = 138,036 : x
  2. Step 2: Convert to fraction form
    61,908/138,036 = 138,036/x
  3. Step 3: Cross multiply
    61,908x = 138,036 × 138,036
  4. Step 4: Simplify right side
    61,908x = 19,053,937,296
  5. Step 5: Solve for x
    x = 19,053,937,296/61,908
  6. Step 6: Final answer
    x = 307,778.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.