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Finding the Third Proportional to 420,867 and 871,664

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Solution

The third proportional to 420,867 and 871,664 is: 1,805,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,867 : 871,664 = 871,664 : x
  2. Step 2: Convert to fraction form
    420,867/871,664 = 871,664/x
  3. Step 3: Cross multiply
    420,867x = 871,664 × 871,664
  4. Step 4: Simplify right side
    420,867x = 759,798,128,896
  5. Step 5: Solve for x
    x = 759,798,128,896/420,867
  6. Step 6: Final answer
    x = 1,805,316.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.