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Finding the Third Proportional to 179,785 and 399,475

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Solution

The third proportional to 179,785 and 399,475 is: 887,617.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,785 : 399,475 = 399,475 : x
  2. Step 2: Convert to fraction form
    179,785/399,475 = 399,475/x
  3. Step 3: Cross multiply
    179,785x = 399,475 × 399,475
  4. Step 4: Simplify right side
    179,785x = 159,580,275,625
  5. Step 5: Solve for x
    x = 159,580,275,625/179,785
  6. Step 6: Final answer
    x = 887,617.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.