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Finding the Third Proportional to 311,936 and 502,360

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Solution

The third proportional to 311,936 and 502,360 is: 809,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,936 : 502,360 = 502,360 : x
  2. Step 2: Convert to fraction form
    311,936/502,360 = 502,360/x
  3. Step 3: Cross multiply
    311,936x = 502,360 × 502,360
  4. Step 4: Simplify right side
    311,936x = 252,365,569,600
  5. Step 5: Solve for x
    x = 252,365,569,600/311,936
  6. Step 6: Final answer
    x = 809,029.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.