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Finding the Third Proportional to 138,078 and 212,166

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Solution

The third proportional to 138,078 and 212,166 is: 326,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,078 : 212,166 = 212,166 : x
  2. Step 2: Convert to fraction form
    138,078/212,166 = 212,166/x
  3. Step 3: Cross multiply
    138,078x = 212,166 × 212,166
  4. Step 4: Simplify right side
    138,078x = 45,014,411,556
  5. Step 5: Solve for x
    x = 45,014,411,556/138,078
  6. Step 6: Final answer
    x = 326,007.12

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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.