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Finding the Third Proportional to 264,420 and 397,216

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Solution

The third proportional to 264,420 and 397,216 is: 596,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,420 : 397,216 = 397,216 : x
  2. Step 2: Convert to fraction form
    264,420/397,216 = 397,216/x
  3. Step 3: Cross multiply
    264,420x = 397,216 × 397,216
  4. Step 4: Simplify right side
    264,420x = 157,780,550,656
  5. Step 5: Solve for x
    x = 157,780,550,656/264,420
  6. Step 6: Final answer
    x = 596,704.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.