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Finding the Third Proportional to 254,662 and 387,529

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Solution

The third proportional to 254,662 and 387,529 is: 589,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,662 : 387,529 = 387,529 : x
  2. Step 2: Convert to fraction form
    254,662/387,529 = 387,529/x
  3. Step 3: Cross multiply
    254,662x = 387,529 × 387,529
  4. Step 4: Simplify right side
    254,662x = 150,178,725,841
  5. Step 5: Solve for x
    x = 150,178,725,841/254,662
  6. Step 6: Final answer
    x = 589,717.84

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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.