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Finding the Third Proportional to 513,538 and 751,288

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Solution

The third proportional to 513,538 and 751,288 is: 1,099,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,538 : 751,288 = 751,288 : x
  2. Step 2: Convert to fraction form
    513,538/751,288 = 751,288/x
  3. Step 3: Cross multiply
    513,538x = 751,288 × 751,288
  4. Step 4: Simplify right side
    513,538x = 564,433,658,944
  5. Step 5: Solve for x
    x = 564,433,658,944/513,538
  6. Step 6: Final answer
    x = 1,099,107.87

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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.