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Finding the Third Proportional to 199,498 and 426,644

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Solution

The third proportional to 199,498 and 426,644 is: 912,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,498 : 426,644 = 426,644 : x
  2. Step 2: Convert to fraction form
    199,498/426,644 = 426,644/x
  3. Step 3: Cross multiply
    199,498x = 426,644 × 426,644
  4. Step 4: Simplify right side
    199,498x = 182,025,102,736
  5. Step 5: Solve for x
    x = 182,025,102,736/199,498
  6. Step 6: Final answer
    x = 912,415.68

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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.