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Finding the Third Proportional to 12,005 and 15,930.50

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Solution

The third proportional to 12,005 and 15,930.50 is: 21,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005 : 15,930.50 = 15,930.50 : x
  2. Step 2: Convert to fraction form
    12,005/15,930.50 = 15,930.50/x
  3. Step 3: Cross multiply
    12,005x = 15,930.50 × 15,930.50
  4. Step 4: Simplify right side
    12,005x = 253,780,830.25
  5. Step 5: Solve for x
    x = 253,780,830.25/12,005
  6. Step 6: Final answer
    x = 21,139.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.