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Finding the Third Proportional to 620,760 and 991,812

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Solution

The third proportional to 620,760 and 991,812 is: 1,584,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,760 : 991,812 = 991,812 : x
  2. Step 2: Convert to fraction form
    620,760/991,812 = 991,812/x
  3. Step 3: Cross multiply
    620,760x = 991,812 × 991,812
  4. Step 4: Simplify right side
    620,760x = 983,691,043,344
  5. Step 5: Solve for x
    x = 983,691,043,344/620,760
  6. Step 6: Final answer
    x = 1,584,655.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.