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Finding the Third Proportional to 311,994 and 502,443

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Solution

The third proportional to 311,994 and 502,443 is: 809,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,994 : 502,443 = 502,443 : x
  2. Step 2: Convert to fraction form
    311,994/502,443 = 502,443/x
  3. Step 3: Cross multiply
    311,994x = 502,443 × 502,443
  4. Step 4: Simplify right side
    311,994x = 252,448,968,249
  5. Step 5: Solve for x
    x = 252,448,968,249/311,994
  6. Step 6: Final answer
    x = 809,146.87

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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.