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Finding the Third Proportional to 40,769 and 85,971

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Solution

The third proportional to 40,769 and 85,971 is: 181,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,769 : 85,971 = 85,971 : x
  2. Step 2: Convert to fraction form
    40,769/85,971 = 85,971/x
  3. Step 3: Cross multiply
    40,769x = 85,971 × 85,971
  4. Step 4: Simplify right side
    40,769x = 7,391,012,841
  5. Step 5: Solve for x
    x = 7,391,012,841/40,769
  6. Step 6: Final answer
    x = 181,290.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.