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Finding the Third Proportional to 207,956 and 425,749

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Solution

The third proportional to 207,956 and 425,749 is: 871,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,956 : 425,749 = 425,749 : x
  2. Step 2: Convert to fraction form
    207,956/425,749 = 425,749/x
  3. Step 3: Cross multiply
    207,956x = 425,749 × 425,749
  4. Step 4: Simplify right side
    207,956x = 181,262,211,001
  5. Step 5: Solve for x
    x = 181,262,211,001/207,956
  6. Step 6: Final answer
    x = 871,637.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.