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Finding the Third Proportional to 644,003 and 1,398,625

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Solution

The third proportional to 644,003 and 1,398,625 is: 3,037,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,003 : 1,398,625 = 1,398,625 : x
  2. Step 2: Convert to fraction form
    644,003/1,398,625 = 1,398,625/x
  3. Step 3: Cross multiply
    644,003x = 1,398,625 × 1,398,625
  4. Step 4: Simplify right side
    644,003x = 1,956,151,890,625
  5. Step 5: Solve for x
    x = 1,956,151,890,625/644,003
  6. Step 6: Final answer
    x = 3,037,488.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.