Home / 710.94-1,089.06

Finding the Third Proportional to 710.94 and 1,089.06

Calculator

Solution

The third proportional to 710.94 and 1,089.06 is: 1,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.94 : 1,089.06 = 1,089.06 : x
  2. Step 2: Convert to fraction form
    710.94/1,089.06 = 1,089.06/x
  3. Step 3: Cross multiply
    710.94x = 1,089.06 × 1,089.06
  4. Step 4: Simplify right side
    710.94x = 1,186,057.13
  5. Step 5: Solve for x
    x = 1,186,057.13/710.94
  6. Step 6: Final answer
    x = 1,668.30

Related Problems

Find third proportional to 355.47 and 544.53
Half scale
Find third proportional to 1,421.88 and 2,178.13
Double scale
Find third proportional to 713 and 1,092
Similar ratio
Find third proportional to 1,066.41 and 1,633.59
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.