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Finding the Third Proportional to 121,523 and 166,887

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Solution

The third proportional to 121,523 and 166,887 is: 229,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,523 : 166,887 = 166,887 : x
  2. Step 2: Convert to fraction form
    121,523/166,887 = 166,887/x
  3. Step 3: Cross multiply
    121,523x = 166,887 × 166,887
  4. Step 4: Simplify right side
    121,523x = 27,851,270,769
  5. Step 5: Solve for x
    x = 27,851,270,769/121,523
  6. Step 6: Final answer
    x = 229,185.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.