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Finding the Third Proportional to 199,494 and 426,635

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Solution

The third proportional to 199,494 and 426,635 is: 912,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,494 : 426,635 = 426,635 : x
  2. Step 2: Convert to fraction form
    199,494/426,635 = 426,635/x
  3. Step 3: Cross multiply
    199,494x = 426,635 × 426,635
  4. Step 4: Simplify right side
    199,494x = 182,017,423,225
  5. Step 5: Solve for x
    x = 182,017,423,225/199,494
  6. Step 6: Final answer
    x = 912,395.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.