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Finding the Third Proportional to 12,938 and 28,228

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Solution

The third proportional to 12,938 and 28,228 is: 61,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938 : 28,228 = 28,228 : x
  2. Step 2: Convert to fraction form
    12,938/28,228 = 28,228/x
  3. Step 3: Cross multiply
    12,938x = 28,228 × 28,228
  4. Step 4: Simplify right side
    12,938x = 796,819,984
  5. Step 5: Solve for x
    x = 796,819,984/12,938
  6. Step 6: Final answer
    x = 61,587.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.