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Finding the Third Proportional to 380,787 and 827,124

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Solution

The third proportional to 380,787 and 827,124 is: 1,796,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,787 : 827,124 = 827,124 : x
  2. Step 2: Convert to fraction form
    380,787/827,124 = 827,124/x
  3. Step 3: Cross multiply
    380,787x = 827,124 × 827,124
  4. Step 4: Simplify right side
    380,787x = 684,134,111,376
  5. Step 5: Solve for x
    x = 684,134,111,376/380,787
  6. Step 6: Final answer
    x = 1,796,632.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.