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Finding the Third Proportional to 12,772.50 and 27,921

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Solution

The third proportional to 12,772.50 and 27,921 is: 61,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.50 : 27,921 = 27,921 : x
  2. Step 2: Convert to fraction form
    12,772.50/27,921 = 27,921/x
  3. Step 3: Cross multiply
    12,772.50x = 27,921 × 27,921
  4. Step 4: Simplify right side
    12,772.50x = 779,582,241
  5. Step 5: Solve for x
    x = 779,582,241/12,772.50
  6. Step 6: Final answer
    x = 61,035.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.