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Finding the Third Proportional to 253,296 and 395,280

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Solution

The third proportional to 253,296 and 395,280 is: 616,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,296 : 395,280 = 395,280 : x
  2. Step 2: Convert to fraction form
    253,296/395,280 = 395,280/x
  3. Step 3: Cross multiply
    253,296x = 395,280 × 395,280
  4. Step 4: Simplify right side
    253,296x = 156,246,278,400
  5. Step 5: Solve for x
    x = 156,246,278,400/253,296
  6. Step 6: Final answer
    x = 616,852.53

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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.