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Finding the Third Proportional to 121,512 and 266,944

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Solution

The third proportional to 121,512 and 266,944 is: 586,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,512 : 266,944 = 266,944 : x
  2. Step 2: Convert to fraction form
    121,512/266,944 = 266,944/x
  3. Step 3: Cross multiply
    121,512x = 266,944 × 266,944
  4. Step 4: Simplify right side
    121,512x = 71,259,099,136
  5. Step 5: Solve for x
    x = 71,259,099,136/121,512
  6. Step 6: Final answer
    x = 586,436.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.