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Finding the Third Proportional to 257,913 and 394,501

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Solution

The third proportional to 257,913 and 394,501 is: 603,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,913 : 394,501 = 394,501 : x
  2. Step 2: Convert to fraction form
    257,913/394,501 = 394,501/x
  3. Step 3: Cross multiply
    257,913x = 394,501 × 394,501
  4. Step 4: Simplify right side
    257,913x = 155,631,039,001
  5. Step 5: Solve for x
    x = 155,631,039,001/257,913
  6. Step 6: Final answer
    x = 603,424.56

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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.