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Finding the Third Proportional to 68,127.75 and 117,978.19

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Solution

The third proportional to 68,127.75 and 117,978.19 is: 204,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,127.75 : 117,978.19 = 117,978.19 : x
  2. Step 2: Convert to fraction form
    68,127.75/117,978.19 = 117,978.19/x
  3. Step 3: Cross multiply
    68,127.75x = 117,978.19 × 117,978.19
  4. Step 4: Simplify right side
    68,127.75x = 13,918,852,725.79
  5. Step 5: Solve for x
    x = 13,918,852,725.79/68,127.75
  6. Step 6: Final answer
    x = 204,305.19

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.