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Finding the Third Proportional to 12,787.75 and 27,762.63

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Solution

The third proportional to 12,787.75 and 27,762.63 is: 60,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.75 : 27,762.63 = 27,762.63 : x
  2. Step 2: Convert to fraction form
    12,787.75/27,762.63 = 27,762.63/x
  3. Step 3: Cross multiply
    12,787.75x = 27,762.63 × 27,762.63
  4. Step 4: Simplify right side
    12,787.75x = 770,763,346.89
  5. Step 5: Solve for x
    x = 770,763,346.89/12,787.75
  6. Step 6: Final answer
    x = 60,273.57

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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.