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Finding the Third Proportional to 274,124 and 399,518

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Solution

The third proportional to 274,124 and 399,518 is: 582,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,124 : 399,518 = 399,518 : x
  2. Step 2: Convert to fraction form
    274,124/399,518 = 399,518/x
  3. Step 3: Cross multiply
    274,124x = 399,518 × 399,518
  4. Step 4: Simplify right side
    274,124x = 159,614,632,324
  5. Step 5: Solve for x
    x = 159,614,632,324/274,124
  6. Step 6: Final answer
    x = 582,271.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.