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Finding the Third Proportional to 750.75 and 765.38

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Solution

The third proportional to 750.75 and 765.38 is: 780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.75 : 765.38 = 765.38 : x
  2. Step 2: Convert to fraction form
    750.75/765.38 = 765.38/x
  3. Step 3: Cross multiply
    750.75x = 765.38 × 765.38
  4. Step 4: Simplify right side
    750.75x = 585,798.89
  5. Step 5: Solve for x
    x = 585,798.89/750.75
  6. Step 6: Final answer
    x = 780.28

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Why These Related Problems?

These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.