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Finding the Third Proportional to 254,119 and 393,481

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Solution

The third proportional to 254,119 and 393,481 is: 609,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,119 : 393,481 = 393,481 : x
  2. Step 2: Convert to fraction form
    254,119/393,481 = 393,481/x
  3. Step 3: Cross multiply
    254,119x = 393,481 × 393,481
  4. Step 4: Simplify right side
    254,119x = 154,827,297,361
  5. Step 5: Solve for x
    x = 154,827,297,361/254,119
  6. Step 6: Final answer
    x = 609,270.84

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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.