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Finding the Third Proportional to 6,438 and 10,317

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Solution

The third proportional to 6,438 and 10,317 is: 16,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438 : 10,317 = 10,317 : x
  2. Step 2: Convert to fraction form
    6,438/10,317 = 10,317/x
  3. Step 3: Cross multiply
    6,438x = 10,317 × 10,317
  4. Step 4: Simplify right side
    6,438x = 106,440,489
  5. Step 5: Solve for x
    x = 106,440,489/6,438
  6. Step 6: Final answer
    x = 16,533.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.