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Finding the Third Proportional to 128,122 and 272,874

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Solution

The third proportional to 128,122 and 272,874 is: 581,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,122 : 272,874 = 272,874 : x
  2. Step 2: Convert to fraction form
    128,122/272,874 = 272,874/x
  3. Step 3: Cross multiply
    128,122x = 272,874 × 272,874
  4. Step 4: Simplify right side
    128,122x = 74,460,219,876
  5. Step 5: Solve for x
    x = 74,460,219,876/128,122
  6. Step 6: Final answer
    x = 581,166.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.