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Finding the Third Proportional to 457,983 and 992,238

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Solution

The third proportional to 457,983 and 992,238 is: 2,149,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,983 : 992,238 = 992,238 : x
  2. Step 2: Convert to fraction form
    457,983/992,238 = 992,238/x
  3. Step 3: Cross multiply
    457,983x = 992,238 × 992,238
  4. Step 4: Simplify right side
    457,983x = 984,536,248,644
  5. Step 5: Solve for x
    x = 984,536,248,644/457,983
  6. Step 6: Final answer
    x = 2,149,722.26

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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.