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Finding the Third Proportional to 257,046 and 400,193

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Solution

The third proportional to 257,046 and 400,193 is: 623,057.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,046 : 400,193 = 400,193 : x
  2. Step 2: Convert to fraction form
    257,046/400,193 = 400,193/x
  3. Step 3: Cross multiply
    257,046x = 400,193 × 400,193
  4. Step 4: Simplify right side
    257,046x = 160,154,437,249
  5. Step 5: Solve for x
    x = 160,154,437,249/257,046
  6. Step 6: Final answer
    x = 623,057.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.