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Finding the Third Proportional to 12,840.19 and 28,027.69

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Solution

The third proportional to 12,840.19 and 28,027.69 is: 61,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.19 : 28,027.69 = 28,027.69 : x
  2. Step 2: Convert to fraction form
    12,840.19/28,027.69 = 28,027.69/x
  3. Step 3: Cross multiply
    12,840.19x = 28,027.69 × 28,027.69
  4. Step 4: Simplify right side
    12,840.19x = 785,551,266.60
  5. Step 5: Solve for x
    x = 785,551,266.60/12,840.19
  6. Step 6: Final answer
    x = 61,179.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.