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Finding the Third Proportional to 34,530 and 76,431

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Solution

The third proportional to 34,530 and 76,431 is: 169,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,530 : 76,431 = 76,431 : x
  2. Step 2: Convert to fraction form
    34,530/76,431 = 76,431/x
  3. Step 3: Cross multiply
    34,530x = 76,431 × 76,431
  4. Step 4: Simplify right side
    34,530x = 5,841,697,761
  5. Step 5: Solve for x
    x = 5,841,697,761/34,530
  6. Step 6: Final answer
    x = 169,177.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.