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Finding the Third Proportional to 10,390 and 15,039

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Solution

The third proportional to 10,390 and 15,039 is: 21,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390 : 15,039 = 15,039 : x
  2. Step 2: Convert to fraction form
    10,390/15,039 = 15,039/x
  3. Step 3: Cross multiply
    10,390x = 15,039 × 15,039
  4. Step 4: Simplify right side
    10,390x = 226,171,521
  5. Step 5: Solve for x
    x = 226,171,521/10,390
  6. Step 6: Final answer
    x = 21,768.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.