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Finding the Third Proportional to 257,584 and 394,023

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Solution

The third proportional to 257,584 and 394,023 is: 602,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,584 : 394,023 = 394,023 : x
  2. Step 2: Convert to fraction form
    257,584/394,023 = 394,023/x
  3. Step 3: Cross multiply
    257,584x = 394,023 × 394,023
  4. Step 4: Simplify right side
    257,584x = 155,254,124,529
  5. Step 5: Solve for x
    x = 155,254,124,529/257,584
  6. Step 6: Final answer
    x = 602,732.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.