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Finding the Third Proportional to 71,391 and 93,821

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Solution

The third proportional to 71,391 and 93,821 is: 123,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,391 : 93,821 = 93,821 : x
  2. Step 2: Convert to fraction form
    71,391/93,821 = 93,821/x
  3. Step 3: Cross multiply
    71,391x = 93,821 × 93,821
  4. Step 4: Simplify right side
    71,391x = 8,802,380,041
  5. Step 5: Solve for x
    x = 8,802,380,041/71,391
  6. Step 6: Final answer
    x = 123,298.18

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.