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Finding the Third Proportional to 18,617 and 28,789

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Solution

The third proportional to 18,617 and 28,789 is: 44,518.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,617 : 28,789 = 28,789 : x
  2. Step 2: Convert to fraction form
    18,617/28,789 = 28,789/x
  3. Step 3: Cross multiply
    18,617x = 28,789 × 28,789
  4. Step 4: Simplify right side
    18,617x = 828,806,521
  5. Step 5: Solve for x
    x = 828,806,521/18,617
  6. Step 6: Final answer
    x = 44,518.80

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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.