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Finding the Third Proportional to 212,112 and 329,292

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Solution

The third proportional to 212,112 and 329,292 is: 511,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,112 : 329,292 = 329,292 : x
  2. Step 2: Convert to fraction form
    212,112/329,292 = 329,292/x
  3. Step 3: Cross multiply
    212,112x = 329,292 × 329,292
  4. Step 4: Simplify right side
    212,112x = 108,433,221,264
  5. Step 5: Solve for x
    x = 108,433,221,264/212,112
  6. Step 6: Final answer
    x = 511,207.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.