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Finding the Third Proportional to 199,764 and 427,631

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Solution

The third proportional to 199,764 and 427,631 is: 915,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,764 : 427,631 = 427,631 : x
  2. Step 2: Convert to fraction form
    199,764/427,631 = 427,631/x
  3. Step 3: Cross multiply
    199,764x = 427,631 × 427,631
  4. Step 4: Simplify right side
    199,764x = 182,868,272,161
  5. Step 5: Solve for x
    x = 182,868,272,161/199,764
  6. Step 6: Final answer
    x = 915,421.56

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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.