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Finding the Third Proportional to 212,348 and 309,756

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Solution

The third proportional to 212,348 and 309,756 is: 451,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,348 : 309,756 = 309,756 : x
  2. Step 2: Convert to fraction form
    212,348/309,756 = 309,756/x
  3. Step 3: Cross multiply
    212,348x = 309,756 × 309,756
  4. Step 4: Simplify right side
    212,348x = 95,948,779,536
  5. Step 5: Solve for x
    x = 95,948,779,536/212,348
  6. Step 6: Final answer
    x = 451,846.87

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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.