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Finding the Third Proportional to 28,976 and 61,065

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Solution

The third proportional to 28,976 and 61,065 is: 128,690.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,976 : 61,065 = 61,065 : x
  2. Step 2: Convert to fraction form
    28,976/61,065 = 61,065/x
  3. Step 3: Cross multiply
    28,976x = 61,065 × 61,065
  4. Step 4: Simplify right side
    28,976x = 3,728,934,225
  5. Step 5: Solve for x
    x = 3,728,934,225/28,976
  6. Step 6: Final answer
    x = 128,690.44

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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.