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Finding the Third Proportional to 121,583 and 181,888

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Solution

The third proportional to 121,583 and 181,888 is: 272,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,583 : 181,888 = 181,888 : x
  2. Step 2: Convert to fraction form
    121,583/181,888 = 181,888/x
  3. Step 3: Cross multiply
    121,583x = 181,888 × 181,888
  4. Step 4: Simplify right side
    121,583x = 33,083,244,544
  5. Step 5: Solve for x
    x = 33,083,244,544/121,583
  6. Step 6: Final answer
    x = 272,104.20

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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.