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Finding the Third Proportional to 199,505 and 430,661

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Solution

The third proportional to 199,505 and 430,661 is: 929,645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,505 : 430,661 = 430,661 : x
  2. Step 2: Convert to fraction form
    199,505/430,661 = 430,661/x
  3. Step 3: Cross multiply
    199,505x = 430,661 × 430,661
  4. Step 4: Simplify right side
    199,505x = 185,468,896,921
  5. Step 5: Solve for x
    x = 185,468,896,921/199,505
  6. Step 6: Final answer
    x = 929,645.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.