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Finding the Third Proportional to 400,896 and 871,740

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Solution

The third proportional to 400,896 and 871,740 is: 1,895,580.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,896 : 871,740 = 871,740 : x
  2. Step 2: Convert to fraction form
    400,896/871,740 = 871,740/x
  3. Step 3: Cross multiply
    400,896x = 871,740 × 871,740
  4. Step 4: Simplify right side
    400,896x = 759,930,627,600
  5. Step 5: Solve for x
    x = 759,930,627,600/400,896
  6. Step 6: Final answer
    x = 1,895,580.47

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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.