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Finding the Third Proportional to 439,395.25 and 663,806

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Solution

The third proportional to 439,395.25 and 663,806 is: 1,002,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,395.25 : 663,806 = 663,806 : x
  2. Step 2: Convert to fraction form
    439,395.25/663,806 = 663,806/x
  3. Step 3: Cross multiply
    439,395.25x = 663,806 × 663,806
  4. Step 4: Simplify right side
    439,395.25x = 440,638,405,636
  5. Step 5: Solve for x
    x = 440,638,405,636/439,395.25
  6. Step 6: Final answer
    x = 1,002,829.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.