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Finding the Third Proportional to 138,489 and 226,118

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Solution

The third proportional to 138,489 and 226,118 is: 369,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,489 : 226,118 = 226,118 : x
  2. Step 2: Convert to fraction form
    138,489/226,118 = 226,118/x
  3. Step 3: Cross multiply
    138,489x = 226,118 × 226,118
  4. Step 4: Simplify right side
    138,489x = 51,129,349,924
  5. Step 5: Solve for x
    x = 51,129,349,924/138,489
  6. Step 6: Final answer
    x = 369,194.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.