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Finding the Third Proportional to 121,489 and 179,842

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Solution

The third proportional to 121,489 and 179,842 is: 266,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,489 : 179,842 = 179,842 : x
  2. Step 2: Convert to fraction form
    121,489/179,842 = 179,842/x
  3. Step 3: Cross multiply
    121,489x = 179,842 × 179,842
  4. Step 4: Simplify right side
    121,489x = 32,343,144,964
  5. Step 5: Solve for x
    x = 32,343,144,964/121,489
  6. Step 6: Final answer
    x = 266,222.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.