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Finding the Third Proportional to 90,724 and 199,160

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Solution

The third proportional to 90,724 and 199,160 is: 437,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,724 : 199,160 = 199,160 : x
  2. Step 2: Convert to fraction form
    90,724/199,160 = 199,160/x
  3. Step 3: Cross multiply
    90,724x = 199,160 × 199,160
  4. Step 4: Simplify right side
    90,724x = 39,664,705,600
  5. Step 5: Solve for x
    x = 39,664,705,600/90,724
  6. Step 6: Final answer
    x = 437,201.90

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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.