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Finding the Third Proportional to 457,840 and 991,949

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Solution

The third proportional to 457,840 and 991,949 is: 2,149,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,840 : 991,949 = 991,949 : x
  2. Step 2: Convert to fraction form
    457,840/991,949 = 991,949/x
  3. Step 3: Cross multiply
    457,840x = 991,949 × 991,949
  4. Step 4: Simplify right side
    457,840x = 983,962,818,601
  5. Step 5: Solve for x
    x = 983,962,818,601/457,840
  6. Step 6: Final answer
    x = 2,149,141.23

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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.