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Finding the Third Proportional to 7,827.75 and 12,122.44

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Solution

The third proportional to 7,827.75 and 12,122.44 is: 18,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.75 : 12,122.44 = 12,122.44 : x
  2. Step 2: Convert to fraction form
    7,827.75/12,122.44 = 12,122.44/x
  3. Step 3: Cross multiply
    7,827.75x = 12,122.44 × 12,122.44
  4. Step 4: Simplify right side
    7,827.75x = 146,953,490.94
  5. Step 5: Solve for x
    x = 146,953,490.94/7,827.75
  6. Step 6: Final answer
    x = 18,773.40

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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.