Home / 690.75-1,648.13

Finding the Third Proportional to 690.75 and 1,648.13

Calculator

Solution

The third proportional to 690.75 and 1,648.13 is: 3,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.75 : 1,648.13 = 1,648.13 : x
  2. Step 2: Convert to fraction form
    690.75/1,648.13 = 1,648.13/x
  3. Step 3: Cross multiply
    690.75x = 1,648.13 × 1,648.13
  4. Step 4: Simplify right side
    690.75x = 2,716,316.02
  5. Step 5: Solve for x
    x = 2,716,316.02/690.75
  6. Step 6: Final answer
    x = 3,932.42

Related Problems

Find third proportional to 345.38 and 824.06
Half scale
Find third proportional to 1,381.50 and 3,296.25
Double scale
Find third proportional to 693 and 1,653
Similar ratio
Find third proportional to 1,036.13 and 2,472.19
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.