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Finding the Third Proportional to 90,658 and 199,438

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Solution

The third proportional to 90,658 and 199,438 is: 438,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,658 : 199,438 = 199,438 : x
  2. Step 2: Convert to fraction form
    90,658/199,438 = 199,438/x
  3. Step 3: Cross multiply
    90,658x = 199,438 × 199,438
  4. Step 4: Simplify right side
    90,658x = 39,775,515,844
  5. Step 5: Solve for x
    x = 39,775,515,844/90,658
  6. Step 6: Final answer
    x = 438,742.48

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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.