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Finding the Third Proportional to 121,638 and 181,970

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Solution

The third proportional to 121,638 and 181,970 is: 272,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,638 : 181,970 = 181,970 : x
  2. Step 2: Convert to fraction form
    121,638/181,970 = 181,970/x
  3. Step 3: Cross multiply
    121,638x = 181,970 × 181,970
  4. Step 4: Simplify right side
    121,638x = 33,113,080,900
  5. Step 5: Solve for x
    x = 33,113,080,900/121,638
  6. Step 6: Final answer
    x = 272,226.45

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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.