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Finding the Third Proportional to 838.75 and 1,823.81

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Solution

The third proportional to 838.75 and 1,823.81 is: 3,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.75 : 1,823.81 = 1,823.81 : x
  2. Step 2: Convert to fraction form
    838.75/1,823.81 = 1,823.81/x
  3. Step 3: Cross multiply
    838.75x = 1,823.81 × 1,823.81
  4. Step 4: Simplify right side
    838.75x = 3,326,265.32
  5. Step 5: Solve for x
    x = 3,326,265.32/838.75
  6. Step 6: Final answer
    x = 3,965.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.