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Finding the Third Proportional to 208,012 and 425,881

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Solution

The third proportional to 208,012 and 425,881 is: 871,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,012 : 425,881 = 425,881 : x
  2. Step 2: Convert to fraction form
    208,012/425,881 = 425,881/x
  3. Step 3: Cross multiply
    208,012x = 425,881 × 425,881
  4. Step 4: Simplify right side
    208,012x = 181,374,626,161
  5. Step 5: Solve for x
    x = 181,374,626,161/208,012
  6. Step 6: Final answer
    x = 871,943.09

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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.