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Finding the Third Proportional to 260,278 and 393,697

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Solution

The third proportional to 260,278 and 393,697 is: 595,506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,278 : 393,697 = 393,697 : x
  2. Step 2: Convert to fraction form
    260,278/393,697 = 393,697/x
  3. Step 3: Cross multiply
    260,278x = 393,697 × 393,697
  4. Step 4: Simplify right side
    260,278x = 154,997,327,809
  5. Step 5: Solve for x
    x = 154,997,327,809/260,278
  6. Step 6: Final answer
    x = 595,506.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.