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Finding the Third Proportional to 272,324 and 419,966

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Solution

The third proportional to 272,324 and 419,966 is: 647,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,324 : 419,966 = 419,966 : x
  2. Step 2: Convert to fraction form
    272,324/419,966 = 419,966/x
  3. Step 3: Cross multiply
    272,324x = 419,966 × 419,966
  4. Step 4: Simplify right side
    272,324x = 176,371,441,156
  5. Step 5: Solve for x
    x = 176,371,441,156/272,324
  6. Step 6: Final answer
    x = 647,652.95

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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.