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Finding the Third Proportional to 5,107.78 and 7,941.80

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Solution

The third proportional to 5,107.78 and 7,941.80 is: 12,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.78 : 7,941.80 = 7,941.80 : x
  2. Step 2: Convert to fraction form
    5,107.78/7,941.80 = 7,941.80/x
  3. Step 3: Cross multiply
    5,107.78x = 7,941.80 × 7,941.80
  4. Step 4: Simplify right side
    5,107.78x = 63,072,137.60
  5. Step 5: Solve for x
    x = 63,072,137.60/5,107.78
  6. Step 6: Final answer
    x = 12,348.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.