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Finding the Third Proportional to 12,129.75 and 18,376.88

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Solution

The third proportional to 12,129.75 and 18,376.88 is: 27,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.75 : 18,376.88 = 18,376.88 : x
  2. Step 2: Convert to fraction form
    12,129.75/18,376.88 = 18,376.88/x
  3. Step 3: Cross multiply
    12,129.75x = 18,376.88 × 18,376.88
  4. Step 4: Simplify right side
    12,129.75x = 337,709,534.77
  5. Step 5: Solve for x
    x = 337,709,534.77/12,129.75
  6. Step 6: Final answer
    x = 27,841.43

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1.5x scale

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.