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Finding the Third Proportional to 272,868 and 420,966

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Solution

The third proportional to 272,868 and 420,966 is: 649,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,868 : 420,966 = 420,966 : x
  2. Step 2: Convert to fraction form
    272,868/420,966 = 420,966/x
  3. Step 3: Cross multiply
    272,868x = 420,966 × 420,966
  4. Step 4: Simplify right side
    272,868x = 177,212,373,156
  5. Step 5: Solve for x
    x = 177,212,373,156/272,868
  6. Step 6: Final answer
    x = 649,443.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.