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Finding the Third Proportional to 12,078 and 18,784.13

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Solution

The third proportional to 12,078 and 18,784.13 is: 29,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078 : 18,784.13 = 18,784.13 : x
  2. Step 2: Convert to fraction form
    12,078/18,784.13 = 18,784.13/x
  3. Step 3: Cross multiply
    12,078x = 18,784.13 × 18,784.13
  4. Step 4: Simplify right side
    12,078x = 352,843,352.02
  5. Step 5: Solve for x
    x = 352,843,352.02/12,078
  6. Step 6: Final answer
    x = 29,213.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.