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Finding the Third Proportional to 686,845 and 1,510,720

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Solution

The third proportional to 686,845 and 1,510,720 is: 3,322,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,845 : 1,510,720 = 1,510,720 : x
  2. Step 2: Convert to fraction form
    686,845/1,510,720 = 1,510,720/x
  3. Step 3: Cross multiply
    686,845x = 1,510,720 × 1,510,720
  4. Step 4: Simplify right side
    686,845x = 2,282,274,918,400
  5. Step 5: Solve for x
    x = 2,282,274,918,400/686,845
  6. Step 6: Final answer
    x = 3,322,838.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.