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Finding the Third Proportional to 71,381 and 107,071

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Solution

The third proportional to 71,381 and 107,071 is: 160,605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,381 : 107,071 = 107,071 : x
  2. Step 2: Convert to fraction form
    71,381/107,071 = 107,071/x
  3. Step 3: Cross multiply
    71,381x = 107,071 × 107,071
  4. Step 4: Simplify right side
    71,381x = 11,464,199,041
  5. Step 5: Solve for x
    x = 11,464,199,041/71,381
  6. Step 6: Final answer
    x = 160,605.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.