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Finding the Third Proportional to 138,430 and 212,214

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Solution

The third proportional to 138,430 and 212,214 is: 325,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,430 : 212,214 = 212,214 : x
  2. Step 2: Convert to fraction form
    138,430/212,214 = 212,214/x
  3. Step 3: Cross multiply
    138,430x = 212,214 × 212,214
  4. Step 4: Simplify right side
    138,430x = 45,034,781,796
  5. Step 5: Solve for x
    x = 45,034,781,796/138,430
  6. Step 6: Final answer
    x = 325,325.30

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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.