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Finding the Third Proportional to 90,646 and 197,420

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Solution

The third proportional to 90,646 and 197,420 is: 429,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,646 : 197,420 = 197,420 : x
  2. Step 2: Convert to fraction form
    90,646/197,420 = 197,420/x
  3. Step 3: Cross multiply
    90,646x = 197,420 × 197,420
  4. Step 4: Simplify right side
    90,646x = 38,974,656,400
  5. Step 5: Solve for x
    x = 38,974,656,400/90,646
  6. Step 6: Final answer
    x = 429,965.54

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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.