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Finding the Third Proportional to 199,699.17 and 272,830.78

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Solution

The third proportional to 199,699.17 and 272,830.78 is: 372,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,699.17 : 272,830.78 = 272,830.78 : x
  2. Step 2: Convert to fraction form
    199,699.17/272,830.78 = 272,830.78/x
  3. Step 3: Cross multiply
    199,699.17x = 272,830.78 × 272,830.78
  4. Step 4: Simplify right side
    199,699.17x = 74,436,635,197.49
  5. Step 5: Solve for x
    x = 74,436,635,197.49/199,699.17
  6. Step 6: Final answer
    x = 372,743.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.