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Finding the Third Proportional to 348.68 and 771.40

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Solution

The third proportional to 348.68 and 771.40 is: 1,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.68 : 771.40 = 771.40 : x
  2. Step 2: Convert to fraction form
    348.68/771.40 = 771.40/x
  3. Step 3: Cross multiply
    348.68x = 771.40 × 771.40
  4. Step 4: Simplify right side
    348.68x = 595,055.55
  5. Step 5: Solve for x
    x = 595,055.55/348.68
  6. Step 6: Final answer
    x = 1,706.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.