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Finding the Third Proportional to 251,296 and 388,614

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Solution

The third proportional to 251,296 and 388,614 is: 600,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,296 : 388,614 = 388,614 : x
  2. Step 2: Convert to fraction form
    251,296/388,614 = 388,614/x
  3. Step 3: Cross multiply
    251,296x = 388,614 × 388,614
  4. Step 4: Simplify right side
    251,296x = 151,020,840,996
  5. Step 5: Solve for x
    x = 151,020,840,996/251,296
  6. Step 6: Final answer
    x = 600,967.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.