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Finding the Third Proportional to 138,325.50 and 212,712

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Solution

The third proportional to 138,325.50 and 212,712 is: 327,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,325.50 : 212,712 = 212,712 : x
  2. Step 2: Convert to fraction form
    138,325.50/212,712 = 212,712/x
  3. Step 3: Cross multiply
    138,325.50x = 212,712 × 212,712
  4. Step 4: Simplify right side
    138,325.50x = 45,246,394,944
  5. Step 5: Solve for x
    x = 45,246,394,944/138,325.50
  6. Step 6: Final answer
    x = 327,100.90

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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.