Home / 369.42-781.17

Finding the Third Proportional to 369.42 and 781.17

Calculator

Solution

The third proportional to 369.42 and 781.17 is: 1,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.42 : 781.17 = 781.17 : x
  2. Step 2: Convert to fraction form
    369.42/781.17 = 781.17/x
  3. Step 3: Cross multiply
    369.42x = 781.17 × 781.17
  4. Step 4: Simplify right side
    369.42x = 610,229.50
  5. Step 5: Solve for x
    x = 610,229.50/369.42
  6. Step 6: Final answer
    x = 1,651.85

Related Problems

Find third proportional to 184.71 and 390.59
Half scale
Find third proportional to 738.84 and 1,562.34
Double scale
Find third proportional to 371 and 785
Similar ratio
Find third proportional to 554.13 and 1,171.76
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.