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Finding the Third Proportional to 389,622 and 827,358

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Solution

The third proportional to 389,622 and 827,358 is: 1,756,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,622 : 827,358 = 827,358 : x
  2. Step 2: Convert to fraction form
    389,622/827,358 = 827,358/x
  3. Step 3: Cross multiply
    389,622x = 827,358 × 827,358
  4. Step 4: Simplify right side
    389,622x = 684,521,260,164
  5. Step 5: Solve for x
    x = 684,521,260,164/389,622
  6. Step 6: Final answer
    x = 1,756,885.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.