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Finding the Third Proportional to 121,842 and 178,011

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Solution

The third proportional to 121,842 and 178,011 is: 260,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,842 : 178,011 = 178,011 : x
  2. Step 2: Convert to fraction form
    121,842/178,011 = 178,011/x
  3. Step 3: Cross multiply
    121,842x = 178,011 × 178,011
  4. Step 4: Simplify right side
    121,842x = 31,687,916,121
  5. Step 5: Solve for x
    x = 31,687,916,121/121,842
  6. Step 6: Final answer
    x = 260,073.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.