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Finding the Third Proportional to 10,383 and 15,682.50

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Solution

The third proportional to 10,383 and 15,682.50 is: 23,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383 : 15,682.50 = 15,682.50 : x
  2. Step 2: Convert to fraction form
    10,383/15,682.50 = 15,682.50/x
  3. Step 3: Cross multiply
    10,383x = 15,682.50 × 15,682.50
  4. Step 4: Simplify right side
    10,383x = 245,940,806.25
  5. Step 5: Solve for x
    x = 245,940,806.25/10,383
  6. Step 6: Final answer
    x = 23,686.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.