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Finding the Third Proportional to 409,008 and 874,876

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Solution

The third proportional to 409,008 and 874,876 is: 1,871,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,008 : 874,876 = 874,876 : x
  2. Step 2: Convert to fraction form
    409,008/874,876 = 874,876/x
  3. Step 3: Cross multiply
    409,008x = 874,876 × 874,876
  4. Step 4: Simplify right side
    409,008x = 765,408,015,376
  5. Step 5: Solve for x
    x = 765,408,015,376/409,008
  6. Step 6: Final answer
    x = 1,871,376.64

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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.