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Finding the Third Proportional to 253,314.25 and 395,307.38

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Solution

The third proportional to 253,314.25 and 395,307.38 is: 616,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,314.25 : 395,307.38 = 395,307.38 : x
  2. Step 2: Convert to fraction form
    253,314.25/395,307.38 = 395,307.38/x
  3. Step 3: Cross multiply
    253,314.25x = 395,307.38 × 395,307.38
  4. Step 4: Simplify right side
    253,314.25x = 156,267,920,729.39
  5. Step 5: Solve for x
    x = 156,267,920,729.39/253,314.25
  6. Step 6: Final answer
    x = 616,893.53

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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.