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Finding the Third Proportional to 121,166 and 248,380

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Solution

The third proportional to 121,166 and 248,380 is: 509,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,166 : 248,380 = 248,380 : x
  2. Step 2: Convert to fraction form
    121,166/248,380 = 248,380/x
  3. Step 3: Cross multiply
    121,166x = 248,380 × 248,380
  4. Step 4: Simplify right side
    121,166x = 61,692,624,400
  5. Step 5: Solve for x
    x = 61,692,624,400/121,166
  6. Step 6: Final answer
    x = 509,157.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.