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Finding the Third Proportional to 197,630 and 439,474

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Solution

The third proportional to 197,630 and 439,474 is: 977,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,630 : 439,474 = 439,474 : x
  2. Step 2: Convert to fraction form
    197,630/439,474 = 439,474/x
  3. Step 3: Cross multiply
    197,630x = 439,474 × 439,474
  4. Step 4: Simplify right side
    197,630x = 193,137,396,676
  5. Step 5: Solve for x
    x = 193,137,396,676/197,630
  6. Step 6: Final answer
    x = 977,267.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.