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Finding the Third Proportional to 138,429 and 212,213

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Solution

The third proportional to 138,429 and 212,213 is: 325,324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,429 : 212,213 = 212,213 : x
  2. Step 2: Convert to fraction form
    138,429/212,213 = 212,213/x
  3. Step 3: Cross multiply
    138,429x = 212,213 × 212,213
  4. Step 4: Simplify right side
    138,429x = 45,034,357,369
  5. Step 5: Solve for x
    x = 45,034,357,369/138,429
  6. Step 6: Final answer
    x = 325,324.59

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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.