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Finding the Third Proportional to 34,533 and 53,325

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Solution

The third proportional to 34,533 and 53,325 is: 82,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,533 : 53,325 = 53,325 : x
  2. Step 2: Convert to fraction form
    34,533/53,325 = 53,325/x
  3. Step 3: Cross multiply
    34,533x = 53,325 × 53,325
  4. Step 4: Simplify right side
    34,533x = 2,843,555,625
  5. Step 5: Solve for x
    x = 2,843,555,625/34,533
  6. Step 6: Final answer
    x = 82,343.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.