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Finding the Third Proportional to 457,949 and 992,170

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Solution

The third proportional to 457,949 and 992,170 is: 2,149,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,949 : 992,170 = 992,170 : x
  2. Step 2: Convert to fraction form
    457,949/992,170 = 992,170/x
  3. Step 3: Cross multiply
    457,949x = 992,170 × 992,170
  4. Step 4: Simplify right side
    457,949x = 984,401,308,900
  5. Step 5: Solve for x
    x = 984,401,308,900/457,949
  6. Step 6: Final answer
    x = 2,149,587.20

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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.