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Finding the Third Proportional to 846.75 and 2,040.38

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Solution

The third proportional to 846.75 and 2,040.38 is: 4,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.75 : 2,040.38 = 2,040.38 : x
  2. Step 2: Convert to fraction form
    846.75/2,040.38 = 2,040.38/x
  3. Step 3: Cross multiply
    846.75x = 2,040.38 × 2,040.38
  4. Step 4: Simplify right side
    846.75x = 4,163,130.14
  5. Step 5: Solve for x
    x = 4,163,130.14/846.75
  6. Step 6: Final answer
    x = 4,916.60

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.