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Finding the Third Proportional to 402,406 and 837,868

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Solution

The third proportional to 402,406 and 837,868 is: 1,744,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,406 : 837,868 = 837,868 : x
  2. Step 2: Convert to fraction form
    402,406/837,868 = 837,868/x
  3. Step 3: Cross multiply
    402,406x = 837,868 × 837,868
  4. Step 4: Simplify right side
    402,406x = 702,022,785,424
  5. Step 5: Solve for x
    x = 702,022,785,424/402,406
  6. Step 6: Final answer
    x = 1,744,563.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.