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Finding the Third Proportional to 43,977.75 and 68,139

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Solution

The third proportional to 43,977.75 and 68,139 is: 105,574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,977.75 : 68,139 = 68,139 : x
  2. Step 2: Convert to fraction form
    43,977.75/68,139 = 68,139/x
  3. Step 3: Cross multiply
    43,977.75x = 68,139 × 68,139
  4. Step 4: Simplify right side
    43,977.75x = 4,642,923,321
  5. Step 5: Solve for x
    x = 4,642,923,321/43,977.75
  6. Step 6: Final answer
    x = 105,574.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.