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Finding the Third Proportional to 26,869 and 43,409

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Solution

The third proportional to 26,869 and 43,409 is: 70,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,869 : 43,409 = 43,409 : x
  2. Step 2: Convert to fraction form
    26,869/43,409 = 43,409/x
  3. Step 3: Cross multiply
    26,869x = 43,409 × 43,409
  4. Step 4: Simplify right side
    26,869x = 1,884,341,281
  5. Step 5: Solve for x
    x = 1,884,341,281/26,869
  6. Step 6: Final answer
    x = 70,130.68

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.