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Finding the Third Proportional to 18,426 and 28,824

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Solution

The third proportional to 18,426 and 28,824 is: 45,089.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,426 : 28,824 = 28,824 : x
  2. Step 2: Convert to fraction form
    18,426/28,824 = 28,824/x
  3. Step 3: Cross multiply
    18,426x = 28,824 × 28,824
  4. Step 4: Simplify right side
    18,426x = 830,822,976
  5. Step 5: Solve for x
    x = 830,822,976/18,426
  6. Step 6: Final answer
    x = 45,089.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.