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Finding the Third Proportional to 199,750 and 427,930

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Solution

The third proportional to 199,750 and 427,930 is: 916,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,750 : 427,930 = 427,930 : x
  2. Step 2: Convert to fraction form
    199,750/427,930 = 427,930/x
  3. Step 3: Cross multiply
    199,750x = 427,930 × 427,930
  4. Step 4: Simplify right side
    199,750x = 183,124,084,900
  5. Step 5: Solve for x
    x = 183,124,084,900/199,750
  6. Step 6: Final answer
    x = 916,766.38

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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.