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Finding the Third Proportional to 4,847.72 and 7,777.78

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Solution

The third proportional to 4,847.72 and 7,777.78 is: 12,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.72 : 7,777.78 = 7,777.78 : x
  2. Step 2: Convert to fraction form
    4,847.72/7,777.78 = 7,777.78/x
  3. Step 3: Cross multiply
    4,847.72x = 7,777.78 × 7,777.78
  4. Step 4: Simplify right side
    4,847.72x = 60,493,881.17
  5. Step 5: Solve for x
    x = 60,493,881.17/4,847.72
  6. Step 6: Final answer
    x = 12,478.83

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.