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Finding the Third Proportional to 71,406 and 155,933

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Solution

The third proportional to 71,406 and 155,933 is: 340,519.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,406 : 155,933 = 155,933 : x
  2. Step 2: Convert to fraction form
    71,406/155,933 = 155,933/x
  3. Step 3: Cross multiply
    71,406x = 155,933 × 155,933
  4. Step 4: Simplify right side
    71,406x = 24,315,100,489
  5. Step 5: Solve for x
    x = 24,315,100,489/71,406
  6. Step 6: Final answer
    x = 340,519.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.