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Finding the Third Proportional to 441,447 and 699,486

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Solution

The third proportional to 441,447 and 699,486 is: 1,108,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,447 : 699,486 = 699,486 : x
  2. Step 2: Convert to fraction form
    441,447/699,486 = 699,486/x
  3. Step 3: Cross multiply
    441,447x = 699,486 × 699,486
  4. Step 4: Simplify right side
    441,447x = 489,280,664,196
  5. Step 5: Solve for x
    x = 489,280,664,196/441,447
  6. Step 6: Final answer
    x = 1,108,356.53

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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.