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Finding the Third Proportional to 2,778.25 and 4,307.25

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Solution

The third proportional to 2,778.25 and 4,307.25 is: 6,677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.25 : 4,307.25 = 4,307.25 : x
  2. Step 2: Convert to fraction form
    2,778.25/4,307.25 = 4,307.25/x
  3. Step 3: Cross multiply
    2,778.25x = 4,307.25 × 4,307.25
  4. Step 4: Simplify right side
    2,778.25x = 18,552,402.56
  5. Step 5: Solve for x
    x = 18,552,402.56/2,778.25
  6. Step 6: Final answer
    x = 6,677.73

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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.