Home / 702.75-762.38

Finding the Third Proportional to 702.75 and 762.38

Calculator

Solution

The third proportional to 702.75 and 762.38 is: 827.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.75 : 762.38 = 762.38 : x
  2. Step 2: Convert to fraction form
    702.75/762.38 = 762.38/x
  3. Step 3: Cross multiply
    702.75x = 762.38 × 762.38
  4. Step 4: Simplify right side
    702.75x = 581,215.64
  5. Step 5: Solve for x
    x = 581,215.64/702.75
  6. Step 6: Final answer
    x = 827.06

Related Problems

Find third proportional to 351.38 and 381.19
Half scale
Find third proportional to 1,405.50 and 1,524.75
Double scale
Find third proportional to 705 and 765
Similar ratio
Find third proportional to 1,054.13 and 1,143.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.