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Finding the Third Proportional to 212,342 and 309,747

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Solution

The third proportional to 212,342 and 309,747 is: 451,833.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,342 : 309,747 = 309,747 : x
  2. Step 2: Convert to fraction form
    212,342/309,747 = 309,747/x
  3. Step 3: Cross multiply
    212,342x = 309,747 × 309,747
  4. Step 4: Simplify right side
    212,342x = 95,943,204,009
  5. Step 5: Solve for x
    x = 95,943,204,009/212,342
  6. Step 6: Final answer
    x = 451,833.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.