Home / 461.91-686.06

Finding the Third Proportional to 461.91 and 686.06

Calculator

Solution

The third proportional to 461.91 and 686.06 is: 1,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.91 : 686.06 = 686.06 : x
  2. Step 2: Convert to fraction form
    461.91/686.06 = 686.06/x
  3. Step 3: Cross multiply
    461.91x = 686.06 × 686.06
  4. Step 4: Simplify right side
    461.91x = 470,681.75
  5. Step 5: Solve for x
    x = 470,681.75/461.91
  6. Step 6: Final answer
    x = 1,019.00

Related Problems

Find third proportional to 230.95 and 343.03
Half scale
Find third proportional to 923.81 and 1,372.13
Double scale
Find third proportional to 464 and 689
Similar ratio
Find third proportional to 692.86 and 1,029.09
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.