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Finding the Third Proportional to 220,902.75 and 458,197.50

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Solution

The third proportional to 220,902.75 and 458,197.50 is: 950,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,902.75 : 458,197.50 = 458,197.50 : x
  2. Step 2: Convert to fraction form
    220,902.75/458,197.50 = 458,197.50/x
  3. Step 3: Cross multiply
    220,902.75x = 458,197.50 × 458,197.50
  4. Step 4: Simplify right side
    220,902.75x = 209,944,949,006.25
  5. Step 5: Solve for x
    x = 209,944,949,006.25/220,902.75
  6. Step 6: Final answer
    x = 950,395.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.