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Finding the Third Proportional to 513,139 and 796,479

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Solution

The third proportional to 513,139 and 796,479 is: 1,236,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,139 : 796,479 = 796,479 : x
  2. Step 2: Convert to fraction form
    513,139/796,479 = 796,479/x
  3. Step 3: Cross multiply
    513,139x = 796,479 × 796,479
  4. Step 4: Simplify right side
    513,139x = 634,378,797,441
  5. Step 5: Solve for x
    x = 634,378,797,441/513,139
  6. Step 6: Final answer
    x = 1,236,270.87

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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.