Home / 688.75-1,022.25

Finding the Third Proportional to 688.75 and 1,022.25

Calculator

Solution

The third proportional to 688.75 and 1,022.25 is: 1,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.75 : 1,022.25 = 1,022.25 : x
  2. Step 2: Convert to fraction form
    688.75/1,022.25 = 1,022.25/x
  3. Step 3: Cross multiply
    688.75x = 1,022.25 × 1,022.25
  4. Step 4: Simplify right side
    688.75x = 1,044,995.06
  5. Step 5: Solve for x
    x = 1,044,995.06/688.75
  6. Step 6: Final answer
    x = 1,517.23

Related Problems

Find third proportional to 344.38 and 511.13
Half scale
Find third proportional to 1,377.50 and 2,044.50
Double scale
Find third proportional to 691 and 1,025
Similar ratio
Find third proportional to 1,033.13 and 1,533.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.