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Finding the Third Proportional to 90,559 and 196,677

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Solution

The third proportional to 90,559 and 196,677 is: 427,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,559 : 196,677 = 196,677 : x
  2. Step 2: Convert to fraction form
    90,559/196,677 = 196,677/x
  3. Step 3: Cross multiply
    90,559x = 196,677 × 196,677
  4. Step 4: Simplify right side
    90,559x = 38,681,842,329
  5. Step 5: Solve for x
    x = 38,681,842,329/90,559
  6. Step 6: Final answer
    x = 427,145.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.