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Finding the Third Proportional to 138,431 and 212,216

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Solution

The third proportional to 138,431 and 212,216 is: 325,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,431 : 212,216 = 212,216 : x
  2. Step 2: Convert to fraction form
    138,431/212,216 = 212,216/x
  3. Step 3: Cross multiply
    138,431x = 212,216 × 212,216
  4. Step 4: Simplify right side
    138,431x = 45,035,630,656
  5. Step 5: Solve for x
    x = 45,035,630,656/138,431
  6. Step 6: Final answer
    x = 325,329.09

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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.