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Finding the Third Proportional to 441,422 and 699,447

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Solution

The third proportional to 441,422 and 699,447 is: 1,108,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,422 : 699,447 = 699,447 : x
  2. Step 2: Convert to fraction form
    441,422/699,447 = 699,447/x
  3. Step 3: Cross multiply
    441,422x = 699,447 × 699,447
  4. Step 4: Simplify right side
    441,422x = 489,226,105,809
  5. Step 5: Solve for x
    x = 489,226,105,809/441,422
  6. Step 6: Final answer
    x = 1,108,295.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.