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Finding the Third Proportional to 10,039 and 15,321

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Solution

The third proportional to 10,039 and 15,321 is: 23,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039 : 15,321 = 15,321 : x
  2. Step 2: Convert to fraction form
    10,039/15,321 = 15,321/x
  3. Step 3: Cross multiply
    10,039x = 15,321 × 15,321
  4. Step 4: Simplify right side
    10,039x = 234,733,041
  5. Step 5: Solve for x
    x = 234,733,041/10,039
  6. Step 6: Final answer
    x = 23,382.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.