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Finding the Third Proportional to 207,976 and 425,810

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Solution

The third proportional to 207,976 and 425,810 is: 871,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,976 : 425,810 = 425,810 : x
  2. Step 2: Convert to fraction form
    207,976/425,810 = 425,810/x
  3. Step 3: Cross multiply
    207,976x = 425,810 × 425,810
  4. Step 4: Simplify right side
    207,976x = 181,314,156,100
  5. Step 5: Solve for x
    x = 181,314,156,100/207,976
  6. Step 6: Final answer
    x = 871,803.27

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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.