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Finding the Third Proportional to 12,442.50 and 18,861

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Solution

The third proportional to 12,442.50 and 18,861 is: 28,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.50 : 18,861 = 18,861 : x
  2. Step 2: Convert to fraction form
    12,442.50/18,861 = 18,861/x
  3. Step 3: Cross multiply
    12,442.50x = 18,861 × 18,861
  4. Step 4: Simplify right side
    12,442.50x = 355,737,321
  5. Step 5: Solve for x
    x = 355,737,321/12,442.50
  6. Step 6: Final answer
    x = 28,590.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.