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Finding the Third Proportional to 401,112 and 871,386

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Solution

The third proportional to 401,112 and 871,386 is: 1,893,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,112 : 871,386 = 871,386 : x
  2. Step 2: Convert to fraction form
    401,112/871,386 = 871,386/x
  3. Step 3: Cross multiply
    401,112x = 871,386 × 871,386
  4. Step 4: Simplify right side
    401,112x = 759,313,560,996
  5. Step 5: Solve for x
    x = 759,313,560,996/401,112
  6. Step 6: Final answer
    x = 1,893,021.30

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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.