Home / 5,666-6,906

Finding the Third Proportional to 5,666 and 6,906

Calculator

Solution

The third proportional to 5,666 and 6,906 is: 8,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666 : 6,906 = 6,906 : x
  2. Step 2: Convert to fraction form
    5,666/6,906 = 6,906/x
  3. Step 3: Cross multiply
    5,666x = 6,906 × 6,906
  4. Step 4: Simplify right side
    5,666x = 47,692,836
  5. Step 5: Solve for x
    x = 47,692,836/5,666
  6. Step 6: Final answer
    x = 8,417.37

Related Problems

Find third proportional to 2,833 and 3,453
Half scale
Find third proportional to 11,332 and 13,812
Double scale
Find third proportional to 5,668 and 6,908
Similar ratio
Find third proportional to 8,499 and 10,359
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.