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Finding the Third Proportional to 19,890 and 28,106

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Solution

The third proportional to 19,890 and 28,106 is: 39,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,890 : 28,106 = 28,106 : x
  2. Step 2: Convert to fraction form
    19,890/28,106 = 28,106/x
  3. Step 3: Cross multiply
    19,890x = 28,106 × 28,106
  4. Step 4: Simplify right side
    19,890x = 789,947,236
  5. Step 5: Solve for x
    x = 789,947,236/19,890
  6. Step 6: Final answer
    x = 39,715.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.