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Finding the Third Proportional to 8,431 and 18,590

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Solution

The third proportional to 8,431 and 18,590 is: 40,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431 : 18,590 = 18,590 : x
  2. Step 2: Convert to fraction form
    8,431/18,590 = 18,590/x
  3. Step 3: Cross multiply
    8,431x = 18,590 × 18,590
  4. Step 4: Simplify right side
    8,431x = 345,588,100
  5. Step 5: Solve for x
    x = 345,588,100/8,431
  6. Step 6: Final answer
    x = 40,990.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.