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Finding the Third Proportional to 121,648 and 181,976

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Solution

The third proportional to 121,648 and 181,976 is: 272,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,648 : 181,976 = 181,976 : x
  2. Step 2: Convert to fraction form
    121,648/181,976 = 181,976/x
  3. Step 3: Cross multiply
    121,648x = 181,976 × 181,976
  4. Step 4: Simplify right side
    121,648x = 33,115,264,576
  5. Step 5: Solve for x
    x = 33,115,264,576/121,648
  6. Step 6: Final answer
    x = 272,222.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.