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Finding the Third Proportional to 18,664 and 28,900

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Solution

The third proportional to 18,664 and 28,900 is: 44,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664 : 28,900 = 28,900 : x
  2. Step 2: Convert to fraction form
    18,664/28,900 = 28,900/x
  3. Step 3: Cross multiply
    18,664x = 28,900 × 28,900
  4. Step 4: Simplify right side
    18,664x = 835,210,000
  5. Step 5: Solve for x
    x = 835,210,000/18,664
  6. Step 6: Final answer
    x = 44,749.79

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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.