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Finding the Third Proportional to 138,132 and 211,194

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Solution

The third proportional to 138,132 and 211,194 is: 322,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,132 : 211,194 = 211,194 : x
  2. Step 2: Convert to fraction form
    138,132/211,194 = 211,194/x
  3. Step 3: Cross multiply
    138,132x = 211,194 × 211,194
  4. Step 4: Simplify right side
    138,132x = 44,602,905,636
  5. Step 5: Solve for x
    x = 44,602,905,636/138,132
  6. Step 6: Final answer
    x = 322,900.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.