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Finding the Third Proportional to 272,832 and 420,912

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Solution

The third proportional to 272,832 and 420,912 is: 649,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,832 : 420,912 = 420,912 : x
  2. Step 2: Convert to fraction form
    272,832/420,912 = 420,912/x
  3. Step 3: Cross multiply
    272,832x = 420,912 × 420,912
  4. Step 4: Simplify right side
    272,832x = 177,166,911,744
  5. Step 5: Solve for x
    x = 177,166,911,744/272,832
  6. Step 6: Final answer
    x = 649,362.65

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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.