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Finding the Third Proportional to 408,939 and 880,368

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Solution

The third proportional to 408,939 and 880,368 is: 1,895,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,939 : 880,368 = 880,368 : x
  2. Step 2: Convert to fraction form
    408,939/880,368 = 880,368/x
  3. Step 3: Cross multiply
    408,939x = 880,368 × 880,368
  4. Step 4: Simplify right side
    408,939x = 775,047,815,424
  5. Step 5: Solve for x
    x = 775,047,815,424/408,939
  6. Step 6: Final answer
    x = 1,895,265.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.