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Finding the Third Proportional to 199,785 and 425,001

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Solution

The third proportional to 199,785 and 425,001 is: 904,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,785 : 425,001 = 425,001 : x
  2. Step 2: Convert to fraction form
    199,785/425,001 = 425,001/x
  3. Step 3: Cross multiply
    199,785x = 425,001 × 425,001
  4. Step 4: Simplify right side
    199,785x = 180,625,850,001
  5. Step 5: Solve for x
    x = 180,625,850,001/199,785
  6. Step 6: Final answer
    x = 904,101.16

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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.