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Finding the Third Proportional to 123,840 and 196,809.19

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Solution

The third proportional to 123,840 and 196,809.19 is: 312,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,840 : 196,809.19 = 196,809.19 : x
  2. Step 2: Convert to fraction form
    123,840/196,809.19 = 196,809.19/x
  3. Step 3: Cross multiply
    123,840x = 196,809.19 × 196,809.19
  4. Step 4: Simplify right side
    123,840x = 38,733,856,284.41
  5. Step 5: Solve for x
    x = 38,733,856,284.41/123,840
  6. Step 6: Final answer
    x = 312,773.39

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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.