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Finding the Third Proportional to 28,213.50 and 61,287

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Solution

The third proportional to 28,213.50 and 61,287 is: 133,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,213.50 : 61,287 = 61,287 : x
  2. Step 2: Convert to fraction form
    28,213.50/61,287 = 61,287/x
  3. Step 3: Cross multiply
    28,213.50x = 61,287 × 61,287
  4. Step 4: Simplify right side
    28,213.50x = 3,756,096,369
  5. Step 5: Solve for x
    x = 3,756,096,369/28,213.50
  6. Step 6: Final answer
    x = 133,131.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.