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Finding the Third Proportional to 84,001 and 129,971

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Solution

The third proportional to 84,001 and 129,971 is: 201,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,001 : 129,971 = 129,971 : x
  2. Step 2: Convert to fraction form
    84,001/129,971 = 129,971/x
  3. Step 3: Cross multiply
    84,001x = 129,971 × 129,971
  4. Step 4: Simplify right side
    84,001x = 16,892,460,841
  5. Step 5: Solve for x
    x = 16,892,460,841/84,001
  6. Step 6: Final answer
    x = 201,098.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.