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Finding the Third Proportional to 90,645 and 197,418

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Solution

The third proportional to 90,645 and 197,418 is: 429,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,645 : 197,418 = 197,418 : x
  2. Step 2: Convert to fraction form
    90,645/197,418 = 197,418/x
  3. Step 3: Cross multiply
    90,645x = 197,418 × 197,418
  4. Step 4: Simplify right side
    90,645x = 38,973,866,724
  5. Step 5: Solve for x
    x = 38,973,866,724/90,645
  6. Step 6: Final answer
    x = 429,961.57

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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.