Home / 523.69-690.19

Finding the Third Proportional to 523.69 and 690.19

Calculator

Solution

The third proportional to 523.69 and 690.19 is: 909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 690.19 = 690.19 : x
  2. Step 2: Convert to fraction form
    523.69/690.19 = 690.19/x
  3. Step 3: Cross multiply
    523.69x = 690.19 × 690.19
  4. Step 4: Simplify right side
    523.69x = 476,358.79
  5. Step 5: Solve for x
    x = 476,358.79/523.69
  6. Step 6: Final answer
    x = 909.62

Related Problems

Find third proportional to 261.84 and 345.09
Half scale
Find third proportional to 1,047.38 and 1,380.38
Double scale
Find third proportional to 526 and 693
Similar ratio
Find third proportional to 785.53 and 1,035.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.