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Finding the Third Proportional to 207,981 and 425,819

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Solution

The third proportional to 207,981 and 425,819 is: 871,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,981 : 425,819 = 425,819 : x
  2. Step 2: Convert to fraction form
    207,981/425,819 = 425,819/x
  3. Step 3: Cross multiply
    207,981x = 425,819 × 425,819
  4. Step 4: Simplify right side
    207,981x = 181,321,820,761
  5. Step 5: Solve for x
    x = 181,321,820,761/207,981
  6. Step 6: Final answer
    x = 871,819.16

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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.