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Finding the Third Proportional to 18,789 and 28,890

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Solution

The third proportional to 18,789 and 28,890 is: 44,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,789 : 28,890 = 28,890 : x
  2. Step 2: Convert to fraction form
    18,789/28,890 = 28,890/x
  3. Step 3: Cross multiply
    18,789x = 28,890 × 28,890
  4. Step 4: Simplify right side
    18,789x = 834,632,100
  5. Step 5: Solve for x
    x = 834,632,100/18,789
  6. Step 6: Final answer
    x = 44,421.32

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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.