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Finding the Third Proportional to 407,932 and 871,916

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Solution

The third proportional to 407,932 and 871,916 is: 1,863,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,932 : 871,916 = 871,916 : x
  2. Step 2: Convert to fraction form
    407,932/871,916 = 871,916/x
  3. Step 3: Cross multiply
    407,932x = 871,916 × 871,916
  4. Step 4: Simplify right side
    407,932x = 760,237,511,056
  5. Step 5: Solve for x
    x = 760,237,511,056/407,932
  6. Step 6: Final answer
    x = 1,863,637.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.