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Finding the Third Proportional to 254,286 and 393,987.38

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Solution

The third proportional to 254,286 and 393,987.38 is: 610,438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,286 : 393,987.38 = 393,987.38 : x
  2. Step 2: Convert to fraction form
    254,286/393,987.38 = 393,987.38/x
  3. Step 3: Cross multiply
    254,286x = 393,987.38 × 393,987.38
  4. Step 4: Simplify right side
    254,286x = 155,226,051,659.39
  5. Step 5: Solve for x
    x = 155,226,051,659.39/254,286
  6. Step 6: Final answer
    x = 610,438.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.