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Finding the Third Proportional to 199,871 and 425,636

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Solution

The third proportional to 199,871 and 425,636 is: 906,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,871 : 425,636 = 425,636 : x
  2. Step 2: Convert to fraction form
    199,871/425,636 = 425,636/x
  3. Step 3: Cross multiply
    199,871x = 425,636 × 425,636
  4. Step 4: Simplify right side
    199,871x = 181,166,004,496
  5. Step 5: Solve for x
    x = 181,166,004,496/199,871
  6. Step 6: Final answer
    x = 906,414.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.