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Finding the Third Proportional to 457,840 and 991,950

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Solution

The third proportional to 457,840 and 991,950 is: 2,149,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,840 : 991,950 = 991,950 : x
  2. Step 2: Convert to fraction form
    457,840/991,950 = 991,950/x
  3. Step 3: Cross multiply
    457,840x = 991,950 × 991,950
  4. Step 4: Simplify right side
    457,840x = 983,964,802,500
  5. Step 5: Solve for x
    x = 983,964,802,500/457,840
  6. Step 6: Final answer
    x = 2,149,145.56

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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.