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Finding the Third Proportional to 399,969 and 642,165.75

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Solution

The third proportional to 399,969 and 642,165.75 is: 1,031,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,969 : 642,165.75 = 642,165.75 : x
  2. Step 2: Convert to fraction form
    399,969/642,165.75 = 642,165.75/x
  3. Step 3: Cross multiply
    399,969x = 642,165.75 × 642,165.75
  4. Step 4: Simplify right side
    399,969x = 412,376,850,473.06
  5. Step 5: Solve for x
    x = 412,376,850,473.06/399,969
  6. Step 6: Final answer
    x = 1,031,022.03

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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.