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Finding the Third Proportional to 121,910 and 161,808

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Solution

The third proportional to 121,910 and 161,808 is: 214,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,910 : 161,808 = 161,808 : x
  2. Step 2: Convert to fraction form
    121,910/161,808 = 161,808/x
  3. Step 3: Cross multiply
    121,910x = 161,808 × 161,808
  4. Step 4: Simplify right side
    121,910x = 26,181,828,864
  5. Step 5: Solve for x
    x = 26,181,828,864/121,910
  6. Step 6: Final answer
    x = 214,763.59

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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.