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Finding the Third Proportional to 5,503.78 and 8,280.98

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Solution

The third proportional to 5,503.78 and 8,280.98 is: 12,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.78 : 8,280.98 = 8,280.98 : x
  2. Step 2: Convert to fraction form
    5,503.78/8,280.98 = 8,280.98/x
  3. Step 3: Cross multiply
    5,503.78x = 8,280.98 × 8,280.98
  4. Step 4: Simplify right side
    5,503.78x = 68,574,702.22
  5. Step 5: Solve for x
    x = 68,574,702.22/5,503.78
  6. Step 6: Final answer
    x = 12,459.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.