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Finding the Third Proportional to 18,419 and 28,328

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Solution

The third proportional to 18,419 and 28,328 is: 43,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,419 : 28,328 = 28,328 : x
  2. Step 2: Convert to fraction form
    18,419/28,328 = 28,328/x
  3. Step 3: Cross multiply
    18,419x = 28,328 × 28,328
  4. Step 4: Simplify right side
    18,419x = 802,475,584
  5. Step 5: Solve for x
    x = 802,475,584/18,419
  6. Step 6: Final answer
    x = 43,567.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.