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Finding the Third Proportional to 846.19 and 1,823.06

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Solution

The third proportional to 846.19 and 1,823.06 is: 3,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.19 : 1,823.06 = 1,823.06 : x
  2. Step 2: Convert to fraction form
    846.19/1,823.06 = 1,823.06/x
  3. Step 3: Cross multiply
    846.19x = 1,823.06 × 1,823.06
  4. Step 4: Simplify right side
    846.19x = 3,323,556.88
  5. Step 5: Solve for x
    x = 3,323,556.88/846.19
  6. Step 6: Final answer
    x = 3,927.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.