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Finding the Third Proportional to 121,908 and 161,759

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Solution

The third proportional to 121,908 and 161,759 is: 214,637.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,908 : 161,759 = 161,759 : x
  2. Step 2: Convert to fraction form
    121,908/161,759 = 161,759/x
  3. Step 3: Cross multiply
    121,908x = 161,759 × 161,759
  4. Step 4: Simplify right side
    121,908x = 26,165,974,081
  5. Step 5: Solve for x
    x = 26,165,974,081/121,908
  6. Step 6: Final answer
    x = 214,637.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.