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Finding the Third Proportional to 8,470 and 18,582

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Solution

The third proportional to 8,470 and 18,582 is: 40,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470 : 18,582 = 18,582 : x
  2. Step 2: Convert to fraction form
    8,470/18,582 = 18,582/x
  3. Step 3: Cross multiply
    8,470x = 18,582 × 18,582
  4. Step 4: Simplify right side
    8,470x = 345,290,724
  5. Step 5: Solve for x
    x = 345,290,724/8,470
  6. Step 6: Final answer
    x = 40,766.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.