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Finding the Third Proportional to 419,684 and 906,376

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Solution

The third proportional to 419,684 and 906,376 is: 1,957,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,684 : 906,376 = 906,376 : x
  2. Step 2: Convert to fraction form
    419,684/906,376 = 906,376/x
  3. Step 3: Cross multiply
    419,684x = 906,376 × 906,376
  4. Step 4: Simplify right side
    419,684x = 821,517,453,376
  5. Step 5: Solve for x
    x = 821,517,453,376/419,684
  6. Step 6: Final answer
    x = 1,957,466.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.