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Finding the Third Proportional to 12,778.50 and 27,807

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Solution

The third proportional to 12,778.50 and 27,807 is: 60,510.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.50 : 27,807 = 27,807 : x
  2. Step 2: Convert to fraction form
    12,778.50/27,807 = 27,807/x
  3. Step 3: Cross multiply
    12,778.50x = 27,807 × 27,807
  4. Step 4: Simplify right side
    12,778.50x = 773,229,249
  5. Step 5: Solve for x
    x = 773,229,249/12,778.50
  6. Step 6: Final answer
    x = 60,510.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.