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Finding the Third Proportional to 69,419 and 143,759

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Solution

The third proportional to 69,419 and 143,759 is: 297,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,419 : 143,759 = 143,759 : x
  2. Step 2: Convert to fraction form
    69,419/143,759 = 143,759/x
  3. Step 3: Cross multiply
    69,419x = 143,759 × 143,759
  4. Step 4: Simplify right side
    69,419x = 20,666,650,081
  5. Step 5: Solve for x
    x = 20,666,650,081/69,419
  6. Step 6: Final answer
    x = 297,708.84

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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.