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Finding the Third Proportional to 55,431 and 105,759

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Solution

The third proportional to 55,431 and 105,759 is: 201,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,431 : 105,759 = 105,759 : x
  2. Step 2: Convert to fraction form
    55,431/105,759 = 105,759/x
  3. Step 3: Cross multiply
    55,431x = 105,759 × 105,759
  4. Step 4: Simplify right side
    55,431x = 11,184,966,081
  5. Step 5: Solve for x
    x = 11,184,966,081/55,431
  6. Step 6: Final answer
    x = 201,781.78

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.