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Finding the Third Proportional to 331,868 and 728,248

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Solution

The third proportional to 331,868 and 728,248 is: 1,598,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,868 : 728,248 = 728,248 : x
  2. Step 2: Convert to fraction form
    331,868/728,248 = 728,248/x
  3. Step 3: Cross multiply
    331,868x = 728,248 × 728,248
  4. Step 4: Simplify right side
    331,868x = 530,345,149,504
  5. Step 5: Solve for x
    x = 530,345,149,504/331,868
  6. Step 6: Final answer
    x = 1,598,060.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.