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Finding the Third Proportional to 81,090 and 120,971

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Solution

The third proportional to 81,090 and 120,971 is: 180,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,090 : 120,971 = 120,971 : x
  2. Step 2: Convert to fraction form
    81,090/120,971 = 120,971/x
  3. Step 3: Cross multiply
    81,090x = 120,971 × 120,971
  4. Step 4: Simplify right side
    81,090x = 14,633,982,841
  5. Step 5: Solve for x
    x = 14,633,982,841/81,090
  6. Step 6: Final answer
    x = 180,465.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.