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Finding the Third Proportional to 90,778 and 126,971

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Solution

The third proportional to 90,778 and 126,971 is: 177,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,778 : 126,971 = 126,971 : x
  2. Step 2: Convert to fraction form
    90,778/126,971 = 126,971/x
  3. Step 3: Cross multiply
    90,778x = 126,971 × 126,971
  4. Step 4: Simplify right side
    90,778x = 16,121,634,841
  5. Step 5: Solve for x
    x = 16,121,634,841/90,778
  6. Step 6: Final answer
    x = 177,594.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.