Home / 699-846

Finding the Third Proportional to 699 and 846

Calculator

Solution

The third proportional to 699 and 846 is: 1,023.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    699 : 846 = 846 : x
  2. Step 2: Convert to fraction form
    699/846 = 846/x
  3. Step 3: Cross multiply
    699x = 846 × 846
  4. Step 4: Simplify right side
    699x = 715,716
  5. Step 5: Solve for x
    x = 715,716/699
  6. Step 6: Final answer
    x = 1,023.91

Related Problems

Find third proportional to 349.50 and 423
Half scale
Find third proportional to 1,398 and 1,692
Double scale
Find third proportional to 701 and 848
Similar ratio
Find third proportional to 1,048.50 and 1,269
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.