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Finding the Third Proportional to 15,399 and 18,275

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Solution

The third proportional to 15,399 and 18,275 is: 21,688.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,399 : 18,275 = 18,275 : x
  2. Step 2: Convert to fraction form
    15,399/18,275 = 18,275/x
  3. Step 3: Cross multiply
    15,399x = 18,275 × 18,275
  4. Step 4: Simplify right side
    15,399x = 333,975,625
  5. Step 5: Solve for x
    x = 333,975,625/15,399
  6. Step 6: Final answer
    x = 21,688.14

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.