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Finding the Third Proportional to 92,080.50 and 197,229

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Solution

The third proportional to 92,080.50 and 197,229 is: 422,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,080.50 : 197,229 = 197,229 : x
  2. Step 2: Convert to fraction form
    92,080.50/197,229 = 197,229/x
  3. Step 3: Cross multiply
    92,080.50x = 197,229 × 197,229
  4. Step 4: Simplify right side
    92,080.50x = 38,899,278,441
  5. Step 5: Solve for x
    x = 38,899,278,441/92,080.50
  6. Step 6: Final answer
    x = 422,448.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.