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Finding the Third Proportional to 457,817 and 994,445

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Solution

The third proportional to 457,817 and 994,445 is: 2,160,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,817 : 994,445 = 994,445 : x
  2. Step 2: Convert to fraction form
    457,817/994,445 = 994,445/x
  3. Step 3: Cross multiply
    457,817x = 994,445 × 994,445
  4. Step 4: Simplify right side
    457,817x = 988,920,858,025
  5. Step 5: Solve for x
    x = 988,920,858,025/457,817
  6. Step 6: Final answer
    x = 2,160,078.94

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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.