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Finding the Third Proportional to 262,672 and 393,912

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Solution

The third proportional to 262,672 and 393,912 is: 590,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,672 : 393,912 = 393,912 : x
  2. Step 2: Convert to fraction form
    262,672/393,912 = 393,912/x
  3. Step 3: Cross multiply
    262,672x = 393,912 × 393,912
  4. Step 4: Simplify right side
    262,672x = 155,166,663,744
  5. Step 5: Solve for x
    x = 155,166,663,744/262,672
  6. Step 6: Final answer
    x = 590,724.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.