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Finding the Third Proportional to 374.63 and 823.61

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Solution

The third proportional to 374.63 and 823.61 is: 1,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.63 : 823.61 = 823.61 : x
  2. Step 2: Convert to fraction form
    374.63/823.61 = 823.61/x
  3. Step 3: Cross multiply
    374.63x = 823.61 × 823.61
  4. Step 4: Simplify right side
    374.63x = 678,325.97
  5. Step 5: Solve for x
    x = 678,325.97/374.63
  6. Step 6: Final answer
    x = 1,810.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.