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Finding the Third Proportional to 28,972 and 61,059

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Solution

The third proportional to 28,972 and 61,059 is: 128,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,972 : 61,059 = 61,059 : x
  2. Step 2: Convert to fraction form
    28,972/61,059 = 61,059/x
  3. Step 3: Cross multiply
    28,972x = 61,059 × 61,059
  4. Step 4: Simplify right side
    28,972x = 3,728,201,481
  5. Step 5: Solve for x
    x = 3,728,201,481/28,972
  6. Step 6: Final answer
    x = 128,682.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.