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Finding the Third Proportional to 656,720 and 998,322

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Solution

The third proportional to 656,720 and 998,322 is: 1,517,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,720 : 998,322 = 998,322 : x
  2. Step 2: Convert to fraction form
    656,720/998,322 = 998,322/x
  3. Step 3: Cross multiply
    656,720x = 998,322 × 998,322
  4. Step 4: Simplify right side
    656,720x = 996,646,815,684
  5. Step 5: Solve for x
    x = 996,646,815,684/656,720
  6. Step 6: Final answer
    x = 1,517,613.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.