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Finding the Third Proportional to 274,128 and 399,524

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Solution

The third proportional to 274,128 and 399,524 is: 582,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,128 : 399,524 = 399,524 : x
  2. Step 2: Convert to fraction form
    274,128/399,524 = 399,524/x
  3. Step 3: Cross multiply
    274,128x = 399,524 × 399,524
  4. Step 4: Simplify right side
    274,128x = 159,619,426,576
  5. Step 5: Solve for x
    x = 159,619,426,576/274,128
  6. Step 6: Final answer
    x = 582,280.64

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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.