Home / 6,534-9,891

Finding the Third Proportional to 6,534 and 9,891

Calculator

Solution

The third proportional to 6,534 and 9,891 is: 14,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534 : 9,891 = 9,891 : x
  2. Step 2: Convert to fraction form
    6,534/9,891 = 9,891/x
  3. Step 3: Cross multiply
    6,534x = 9,891 × 9,891
  4. Step 4: Simplify right side
    6,534x = 97,831,881
  5. Step 5: Solve for x
    x = 97,831,881/6,534
  6. Step 6: Final answer
    x = 14,972.74

Related Problems

Find third proportional to 3,267 and 4,945.50
Half scale
Find third proportional to 13,068 and 19,782
Double scale
Find third proportional to 6,536 and 9,894
Similar ratio
Find third proportional to 9,801 and 14,836.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.