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Finding the Third Proportional to 4,878.98 and 7,777.90

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Solution

The third proportional to 4,878.98 and 7,777.90 is: 12,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.98 : 7,777.90 = 7,777.90 : x
  2. Step 2: Convert to fraction form
    4,878.98/7,777.90 = 7,777.90/x
  3. Step 3: Cross multiply
    4,878.98x = 7,777.90 × 7,777.90
  4. Step 4: Simplify right side
    4,878.98x = 60,495,704.10
  5. Step 5: Solve for x
    x = 60,495,704.10/4,878.98
  6. Step 6: Final answer
    x = 12,399.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.