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Finding the Third Proportional to 199,968 and 290,592

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Solution

The third proportional to 199,968 and 290,592 is: 422,286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,968 : 290,592 = 290,592 : x
  2. Step 2: Convert to fraction form
    199,968/290,592 = 290,592/x
  3. Step 3: Cross multiply
    199,968x = 290,592 × 290,592
  4. Step 4: Simplify right side
    199,968x = 84,443,710,464
  5. Step 5: Solve for x
    x = 84,443,710,464/199,968
  6. Step 6: Final answer
    x = 422,286.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.