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Finding the Third Proportional to 311,871 and 407,833

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Solution

The third proportional to 311,871 and 407,833 is: 533,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,871 : 407,833 = 407,833 : x
  2. Step 2: Convert to fraction form
    311,871/407,833 = 407,833/x
  3. Step 3: Cross multiply
    311,871x = 407,833 × 407,833
  4. Step 4: Simplify right side
    311,871x = 166,327,755,889
  5. Step 5: Solve for x
    x = 166,327,755,889/311,871
  6. Step 6: Final answer
    x = 533,322.29

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.