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Finding the Third Proportional to 205,856 and 451,120

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Solution

The third proportional to 205,856 and 451,120 is: 988,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,856 : 451,120 = 451,120 : x
  2. Step 2: Convert to fraction form
    205,856/451,120 = 451,120/x
  3. Step 3: Cross multiply
    205,856x = 451,120 × 451,120
  4. Step 4: Simplify right side
    205,856x = 203,509,254,400
  5. Step 5: Solve for x
    x = 203,509,254,400/205,856
  6. Step 6: Final answer
    x = 988,600.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.