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Finding the Third Proportional to 69,078 and 143,070

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Solution

The third proportional to 69,078 and 143,070 is: 296,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,078 : 143,070 = 143,070 : x
  2. Step 2: Convert to fraction form
    69,078/143,070 = 143,070/x
  3. Step 3: Cross multiply
    69,078x = 143,070 × 143,070
  4. Step 4: Simplify right side
    69,078x = 20,469,024,900
  5. Step 5: Solve for x
    x = 20,469,024,900/69,078
  6. Step 6: Final answer
    x = 296,317.57

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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.