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Finding the Third Proportional to 371.46 and 785.74

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Solution

The third proportional to 371.46 and 785.74 is: 1,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.46 : 785.74 = 785.74 : x
  2. Step 2: Convert to fraction form
    371.46/785.74 = 785.74/x
  3. Step 3: Cross multiply
    371.46x = 785.74 × 785.74
  4. Step 4: Simplify right side
    371.46x = 617,390.79
  5. Step 5: Solve for x
    x = 617,390.79/371.46
  6. Step 6: Final answer
    x = 1,662.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.