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Finding the Third Proportional to 92,586 and 199,590

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Solution

The third proportional to 92,586 and 199,590 is: 430,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,586 : 199,590 = 199,590 : x
  2. Step 2: Convert to fraction form
    92,586/199,590 = 199,590/x
  3. Step 3: Cross multiply
    92,586x = 199,590 × 199,590
  4. Step 4: Simplify right side
    92,586x = 39,836,168,100
  5. Step 5: Solve for x
    x = 39,836,168,100/92,586
  6. Step 6: Final answer
    x = 430,261.25

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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.