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Finding the Third Proportional to 728,393 and 1,586,101

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Solution

The third proportional to 728,393 and 1,586,101 is: 3,453,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,393 : 1,586,101 = 1,586,101 : x
  2. Step 2: Convert to fraction form
    728,393/1,586,101 = 1,586,101/x
  3. Step 3: Cross multiply
    728,393x = 1,586,101 × 1,586,101
  4. Step 4: Simplify right side
    728,393x = 2,515,716,382,201
  5. Step 5: Solve for x
    x = 2,515,716,382,201/728,393
  6. Step 6: Final answer
    x = 3,453,789.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.