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Finding the Third Proportional to 457,844 and 991,958

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Solution

The third proportional to 457,844 and 991,958 is: 2,149,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,844 : 991,958 = 991,958 : x
  2. Step 2: Convert to fraction form
    457,844/991,958 = 991,958/x
  3. Step 3: Cross multiply
    457,844x = 991,958 × 991,958
  4. Step 4: Simplify right side
    457,844x = 983,980,673,764
  5. Step 5: Solve for x
    x = 983,980,673,764/457,844
  6. Step 6: Final answer
    x = 2,149,161.45

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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.