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Finding the Third Proportional to 390,176 and 796,345

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Solution

The third proportional to 390,176 and 796,345 is: 1,625,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,176 : 796,345 = 796,345 : x
  2. Step 2: Convert to fraction form
    390,176/796,345 = 796,345/x
  3. Step 3: Cross multiply
    390,176x = 796,345 × 796,345
  4. Step 4: Simplify right side
    390,176x = 634,165,359,025
  5. Step 5: Solve for x
    x = 634,165,359,025/390,176
  6. Step 6: Final answer
    x = 1,625,331.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.