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Finding the Third Proportional to 12,693 and 20,212.50

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Solution

The third proportional to 12,693 and 20,212.50 is: 32,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693 : 20,212.50 = 20,212.50 : x
  2. Step 2: Convert to fraction form
    12,693/20,212.50 = 20,212.50/x
  3. Step 3: Cross multiply
    12,693x = 20,212.50 × 20,212.50
  4. Step 4: Simplify right side
    12,693x = 408,545,156.25
  5. Step 5: Solve for x
    x = 408,545,156.25/12,693
  6. Step 6: Final answer
    x = 32,186.65

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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.