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Finding the Third Proportional to 121,300 and 177,990

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Solution

The third proportional to 121,300 and 177,990 is: 261,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,300 : 177,990 = 177,990 : x
  2. Step 2: Convert to fraction form
    121,300/177,990 = 177,990/x
  3. Step 3: Cross multiply
    121,300x = 177,990 × 177,990
  4. Step 4: Simplify right side
    121,300x = 31,680,440,100
  5. Step 5: Solve for x
    x = 31,680,440,100/121,300
  6. Step 6: Final answer
    x = 261,174.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.