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Finding the Third Proportional to 846.28 and 1,846.97

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Solution

The third proportional to 846.28 and 1,846.97 is: 4,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.28 : 1,846.97 = 1,846.97 : x
  2. Step 2: Convert to fraction form
    846.28/1,846.97 = 1,846.97/x
  3. Step 3: Cross multiply
    846.28x = 1,846.97 × 1,846.97
  4. Step 4: Simplify right side
    846.28x = 3,411,293.56
  5. Step 5: Solve for x
    x = 3,411,293.56/846.28
  6. Step 6: Final answer
    x = 4,030.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.