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Finding the Third Proportional to 457,834 and 991,939

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Solution

The third proportional to 457,834 and 991,939 is: 2,149,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,834 : 991,939 = 991,939 : x
  2. Step 2: Convert to fraction form
    457,834/991,939 = 991,939/x
  3. Step 3: Cross multiply
    457,834x = 991,939 × 991,939
  4. Step 4: Simplify right side
    457,834x = 983,942,979,721
  5. Step 5: Solve for x
    x = 983,942,979,721/457,834
  6. Step 6: Final answer
    x = 2,149,126.06

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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.