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Finding the Third Proportional to 838.38 and 1,811.63

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Solution

The third proportional to 838.38 and 1,811.63 is: 3,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.38 : 1,811.63 = 1,811.63 : x
  2. Step 2: Convert to fraction form
    838.38/1,811.63 = 1,811.63/x
  3. Step 3: Cross multiply
    838.38x = 1,811.63 × 1,811.63
  4. Step 4: Simplify right side
    838.38x = 3,281,985.14
  5. Step 5: Solve for x
    x = 3,281,985.14/838.38
  6. Step 6: Final answer
    x = 3,914.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.