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Finding the Third Proportional to 18,664 and 28,538

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Solution

The third proportional to 18,664 and 28,538 is: 43,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,664 : 28,538 = 28,538 : x
  2. Step 2: Convert to fraction form
    18,664/28,538 = 28,538/x
  3. Step 3: Cross multiply
    18,664x = 28,538 × 28,538
  4. Step 4: Simplify right side
    18,664x = 814,417,444
  5. Step 5: Solve for x
    x = 814,417,444/18,664
  6. Step 6: Final answer
    x = 43,635.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.