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Finding the Third Proportional to 12,840.19 and 20,374.03

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Solution

The third proportional to 12,840.19 and 20,374.03 is: 32,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.19 : 20,374.03 = 20,374.03 : x
  2. Step 2: Convert to fraction form
    12,840.19/20,374.03 = 20,374.03/x
  3. Step 3: Cross multiply
    12,840.19x = 20,374.03 × 20,374.03
  4. Step 4: Simplify right side
    12,840.19x = 415,101,149.38
  5. Step 5: Solve for x
    x = 415,101,149.38/12,840.19
  6. Step 6: Final answer
    x = 32,328.28

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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.