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Finding the Third Proportional to 28,822 and 42,194

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Solution

The third proportional to 28,822 and 42,194 is: 61,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,822 : 42,194 = 42,194 : x
  2. Step 2: Convert to fraction form
    28,822/42,194 = 42,194/x
  3. Step 3: Cross multiply
    28,822x = 42,194 × 42,194
  4. Step 4: Simplify right side
    28,822x = 1,780,333,636
  5. Step 5: Solve for x
    x = 1,780,333,636/28,822
  6. Step 6: Final answer
    x = 61,769.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.