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Finding the Third Proportional to 767.50 and 1,775.75

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Solution

The third proportional to 767.50 and 1,775.75 is: 4,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.50 : 1,775.75 = 1,775.75 : x
  2. Step 2: Convert to fraction form
    767.50/1,775.75 = 1,775.75/x
  3. Step 3: Cross multiply
    767.50x = 1,775.75 × 1,775.75
  4. Step 4: Simplify right side
    767.50x = 3,153,288.06
  5. Step 5: Solve for x
    x = 3,153,288.06/767.50
  6. Step 6: Final answer
    x = 4,108.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.