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Finding the Third Proportional to 254,655 and 387,519

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Solution

The third proportional to 254,655 and 387,519 is: 589,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,655 : 387,519 = 387,519 : x
  2. Step 2: Convert to fraction form
    254,655/387,519 = 387,519/x
  3. Step 3: Cross multiply
    254,655x = 387,519 × 387,519
  4. Step 4: Simplify right side
    254,655x = 150,170,975,361
  5. Step 5: Solve for x
    x = 150,170,975,361/254,655
  6. Step 6: Final answer
    x = 589,703.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.