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Finding the Third Proportional to 66,986.13 and 143,685.62

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Solution

The third proportional to 66,986.13 and 143,685.62 is: 308,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,986.13 : 143,685.62 = 143,685.62 : x
  2. Step 2: Convert to fraction form
    66,986.13/143,685.62 = 143,685.62/x
  3. Step 3: Cross multiply
    66,986.13x = 143,685.62 × 143,685.62
  4. Step 4: Simplify right side
    66,986.13x = 20,645,556,025.28
  5. Step 5: Solve for x
    x = 20,645,556,025.28/66,986.13
  6. Step 6: Final answer
    x = 308,206.43

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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.