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Finding the Third Proportional to 401,170 and 871,500

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Solution

The third proportional to 401,170 and 871,500 is: 1,893,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,170 : 871,500 = 871,500 : x
  2. Step 2: Convert to fraction form
    401,170/871,500 = 871,500/x
  3. Step 3: Cross multiply
    401,170x = 871,500 × 871,500
  4. Step 4: Simplify right side
    401,170x = 759,512,250,000
  5. Step 5: Solve for x
    x = 759,512,250,000/401,170
  6. Step 6: Final answer
    x = 1,893,242.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.