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Finding the Third Proportional to 451,040 and 991,360

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Solution

The third proportional to 451,040 and 991,360 is: 2,178,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,040 : 991,360 = 991,360 : x
  2. Step 2: Convert to fraction form
    451,040/991,360 = 991,360/x
  3. Step 3: Cross multiply
    451,040x = 991,360 × 991,360
  4. Step 4: Simplify right side
    451,040x = 982,794,649,600
  5. Step 5: Solve for x
    x = 982,794,649,600/451,040
  6. Step 6: Final answer
    x = 2,178,952.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.