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Finding the Third Proportional to 69,086 and 143,084

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Solution

The third proportional to 69,086 and 143,084 is: 296,341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,086 : 143,084 = 143,084 : x
  2. Step 2: Convert to fraction form
    69,086/143,084 = 143,084/x
  3. Step 3: Cross multiply
    69,086x = 143,084 × 143,084
  4. Step 4: Simplify right side
    69,086x = 20,473,031,056
  5. Step 5: Solve for x
    x = 20,473,031,056/69,086
  6. Step 6: Final answer
    x = 296,341.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.