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Finding the Third Proportional to 10,509 and 15,114

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Solution

The third proportional to 10,509 and 15,114 is: 21,736.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509 : 15,114 = 15,114 : x
  2. Step 2: Convert to fraction form
    10,509/15,114 = 15,114/x
  3. Step 3: Cross multiply
    10,509x = 15,114 × 15,114
  4. Step 4: Simplify right side
    10,509x = 228,432,996
  5. Step 5: Solve for x
    x = 228,432,996/10,509
  6. Step 6: Final answer
    x = 21,736.89

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.