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Finding the Third Proportional to 457,838 and 991,945

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Solution

The third proportional to 457,838 and 991,945 is: 2,149,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,838 : 991,945 = 991,945 : x
  2. Step 2: Convert to fraction form
    457,838/991,945 = 991,945/x
  3. Step 3: Cross multiply
    457,838x = 991,945 × 991,945
  4. Step 4: Simplify right side
    457,838x = 983,954,883,025
  5. Step 5: Solve for x
    x = 983,954,883,025/457,838
  6. Step 6: Final answer
    x = 2,149,133.28

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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.