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Finding the Third Proportional to 29,953 and 71,228

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Solution

The third proportional to 29,953 and 71,228 is: 169,379.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,953 : 71,228 = 71,228 : x
  2. Step 2: Convert to fraction form
    29,953/71,228 = 71,228/x
  3. Step 3: Cross multiply
    29,953x = 71,228 × 71,228
  4. Step 4: Simplify right side
    29,953x = 5,073,427,984
  5. Step 5: Solve for x
    x = 5,073,427,984/29,953
  6. Step 6: Final answer
    x = 169,379.63

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.