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Finding the Third Proportional to 43,140.50 and 92,684.75

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Solution

The third proportional to 43,140.50 and 92,684.75 is: 199,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,140.50 : 92,684.75 = 92,684.75 : x
  2. Step 2: Convert to fraction form
    43,140.50/92,684.75 = 92,684.75/x
  3. Step 3: Cross multiply
    43,140.50x = 92,684.75 × 92,684.75
  4. Step 4: Simplify right side
    43,140.50x = 8,590,462,882.56
  5. Step 5: Solve for x
    x = 8,590,462,882.56/43,140.50
  6. Step 6: Final answer
    x = 199,127.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.