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Finding the Third Proportional to 373.75 and 785.38

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Solution

The third proportional to 373.75 and 785.38 is: 1,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.75 : 785.38 = 785.38 : x
  2. Step 2: Convert to fraction form
    373.75/785.38 = 785.38/x
  3. Step 3: Cross multiply
    373.75x = 785.38 × 785.38
  4. Step 4: Simplify right side
    373.75x = 616,813.89
  5. Step 5: Solve for x
    x = 616,813.89/373.75
  6. Step 6: Final answer
    x = 1,650.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.