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Finding the Third Proportional to 28,400 and 61,216

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Solution

The third proportional to 28,400 and 61,216 is: 131,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,400 : 61,216 = 61,216 : x
  2. Step 2: Convert to fraction form
    28,400/61,216 = 61,216/x
  3. Step 3: Cross multiply
    28,400x = 61,216 × 61,216
  4. Step 4: Simplify right side
    28,400x = 3,747,398,656
  5. Step 5: Solve for x
    x = 3,747,398,656/28,400
  6. Step 6: Final answer
    x = 131,950.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.