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Finding the Third Proportional to 457,978 and 992,191

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Solution

The third proportional to 457,978 and 992,191 is: 2,149,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,978 : 992,191 = 992,191 : x
  2. Step 2: Convert to fraction form
    457,978/992,191 = 992,191/x
  3. Step 3: Cross multiply
    457,978x = 992,191 × 992,191
  4. Step 4: Simplify right side
    457,978x = 984,442,980,481
  5. Step 5: Solve for x
    x = 984,442,980,481/457,978
  6. Step 6: Final answer
    x = 2,149,542.08

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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.