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Finding the Third Proportional to 18,656 and 28,889

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Solution

The third proportional to 18,656 and 28,889 is: 44,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656 : 28,889 = 28,889 : x
  2. Step 2: Convert to fraction form
    18,656/28,889 = 28,889/x
  3. Step 3: Cross multiply
    18,656x = 28,889 × 28,889
  4. Step 4: Simplify right side
    18,656x = 834,574,321
  5. Step 5: Solve for x
    x = 834,574,321/18,656
  6. Step 6: Final answer
    x = 44,734.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.