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Finding the Third Proportional to 457,921 and 994,658

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Solution

The third proportional to 457,921 and 994,658 is: 2,160,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,921 : 994,658 = 994,658 : x
  2. Step 2: Convert to fraction form
    457,921/994,658 = 994,658/x
  3. Step 3: Cross multiply
    457,921x = 994,658 × 994,658
  4. Step 4: Simplify right side
    457,921x = 989,344,536,964
  5. Step 5: Solve for x
    x = 989,344,536,964/457,921
  6. Step 6: Final answer
    x = 2,160,513.58

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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.