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Finding the Third Proportional to 199,868 and 425,630

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Solution

The third proportional to 199,868 and 425,630 is: 906,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,868 : 425,630 = 425,630 : x
  2. Step 2: Convert to fraction form
    199,868/425,630 = 425,630/x
  3. Step 3: Cross multiply
    199,868x = 425,630 × 425,630
  4. Step 4: Simplify right side
    199,868x = 181,160,896,900
  5. Step 5: Solve for x
    x = 181,160,896,900/199,868
  6. Step 6: Final answer
    x = 906,402.71

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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.