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Finding the Third Proportional to 272,388 and 450,162

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Solution

The third proportional to 272,388 and 450,162 is: 743,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,388 : 450,162 = 450,162 : x
  2. Step 2: Convert to fraction form
    272,388/450,162 = 450,162/x
  3. Step 3: Cross multiply
    272,388x = 450,162 × 450,162
  4. Step 4: Simplify right side
    272,388x = 202,645,826,244
  5. Step 5: Solve for x
    x = 202,645,826,244/272,388
  6. Step 6: Final answer
    x = 743,960.18

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.