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Finding the Third Proportional to 383,410 and 806,480

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Solution

The third proportional to 383,410 and 806,480 is: 1,696,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,410 : 806,480 = 806,480 : x
  2. Step 2: Convert to fraction form
    383,410/806,480 = 806,480/x
  3. Step 3: Cross multiply
    383,410x = 806,480 × 806,480
  4. Step 4: Simplify right side
    383,410x = 650,409,990,400
  5. Step 5: Solve for x
    x = 650,409,990,400/383,410
  6. Step 6: Final answer
    x = 1,696,382.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.