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Finding the Third Proportional to 90,659 and 197,448

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Solution

The third proportional to 90,659 and 197,448 is: 430,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,659 : 197,448 = 197,448 : x
  2. Step 2: Convert to fraction form
    90,659/197,448 = 197,448/x
  3. Step 3: Cross multiply
    90,659x = 197,448 × 197,448
  4. Step 4: Simplify right side
    90,659x = 38,985,712,704
  5. Step 5: Solve for x
    x = 38,985,712,704/90,659
  6. Step 6: Final answer
    x = 430,025.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.