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Finding the Third Proportional to 3,815 and 8,359

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Solution

The third proportional to 3,815 and 8,359 is: 18,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815 : 8,359 = 8,359 : x
  2. Step 2: Convert to fraction form
    3,815/8,359 = 8,359/x
  3. Step 3: Cross multiply
    3,815x = 8,359 × 8,359
  4. Step 4: Simplify right side
    3,815x = 69,872,881
  5. Step 5: Solve for x
    x = 69,872,881/3,815
  6. Step 6: Final answer
    x = 18,315.30

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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.