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Finding the Third Proportional to 138,058 and 212,132

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Solution

The third proportional to 138,058 and 212,132 is: 325,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,058 : 212,132 = 212,132 : x
  2. Step 2: Convert to fraction form
    138,058/212,132 = 212,132/x
  3. Step 3: Cross multiply
    138,058x = 212,132 × 212,132
  4. Step 4: Simplify right side
    138,058x = 44,999,985,424
  5. Step 5: Solve for x
    x = 44,999,985,424/138,058
  6. Step 6: Final answer
    x = 325,949.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.