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Finding the Third Proportional to 90,464 and 198,208

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Solution

The third proportional to 90,464 and 198,208 is: 434,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,464 : 198,208 = 198,208 : x
  2. Step 2: Convert to fraction form
    90,464/198,208 = 198,208/x
  3. Step 3: Cross multiply
    90,464x = 198,208 × 198,208
  4. Step 4: Simplify right side
    90,464x = 39,286,411,264
  5. Step 5: Solve for x
    x = 39,286,411,264/90,464
  6. Step 6: Final answer
    x = 434,276.74

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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.