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Finding the Third Proportional to 264,990 and 393,881

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Solution

The third proportional to 264,990 and 393,881 is: 585,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,990 : 393,881 = 393,881 : x
  2. Step 2: Convert to fraction form
    264,990/393,881 = 393,881/x
  3. Step 3: Cross multiply
    264,990x = 393,881 × 393,881
  4. Step 4: Simplify right side
    264,990x = 155,142,242,161
  5. Step 5: Solve for x
    x = 155,142,242,161/264,990
  6. Step 6: Final answer
    x = 585,464.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.