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Finding the Third Proportional to 199,830 and 299,137.50

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Solution

The third proportional to 199,830 and 299,137.50 is: 447,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,830 : 299,137.50 = 299,137.50 : x
  2. Step 2: Convert to fraction form
    199,830/299,137.50 = 299,137.50/x
  3. Step 3: Cross multiply
    199,830x = 299,137.50 × 299,137.50
  4. Step 4: Simplify right side
    199,830x = 89,483,243,906.25
  5. Step 5: Solve for x
    x = 89,483,243,906.25/199,830
  6. Step 6: Final answer
    x = 447,796.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.