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Finding the Third Proportional to 90,268 and 198,040

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Solution

The third proportional to 90,268 and 198,040 is: 434,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,268 : 198,040 = 198,040 : x
  2. Step 2: Convert to fraction form
    90,268/198,040 = 198,040/x
  3. Step 3: Cross multiply
    90,268x = 198,040 × 198,040
  4. Step 4: Simplify right side
    90,268x = 39,219,841,600
  5. Step 5: Solve for x
    x = 39,219,841,600/90,268
  6. Step 6: Final answer
    x = 434,482.23

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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.