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Finding the Third Proportional to 239,644 and 317,994

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Solution

The third proportional to 239,644 and 317,994 is: 421,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,644 : 317,994 = 317,994 : x
  2. Step 2: Convert to fraction form
    239,644/317,994 = 317,994/x
  3. Step 3: Cross multiply
    239,644x = 317,994 × 317,994
  4. Step 4: Simplify right side
    239,644x = 101,120,184,036
  5. Step 5: Solve for x
    x = 101,120,184,036/239,644
  6. Step 6: Final answer
    x = 421,960.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.