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Finding the Third Proportional to 393.61 and 846.70

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Solution

The third proportional to 393.61 and 846.70 is: 1,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.61 : 846.70 = 846.70 : x
  2. Step 2: Convert to fraction form
    393.61/846.70 = 846.70/x
  3. Step 3: Cross multiply
    393.61x = 846.70 × 846.70
  4. Step 4: Simplify right side
    393.61x = 716,906.18
  5. Step 5: Solve for x
    x = 716,906.18/393.61
  6. Step 6: Final answer
    x = 1,821.36

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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.