Home / 6,314-9,773

Finding the Third Proportional to 6,314 and 9,773

Calculator

Solution

The third proportional to 6,314 and 9,773 is: 15,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314 : 9,773 = 9,773 : x
  2. Step 2: Convert to fraction form
    6,314/9,773 = 9,773/x
  3. Step 3: Cross multiply
    6,314x = 9,773 × 9,773
  4. Step 4: Simplify right side
    6,314x = 95,511,529
  5. Step 5: Solve for x
    x = 95,511,529/6,314
  6. Step 6: Final answer
    x = 15,126.94

Related Problems

Find third proportional to 3,157 and 4,886.50
Half scale
Find third proportional to 12,628 and 19,546
Double scale
Find third proportional to 6,316 and 9,776
Similar ratio
Find third proportional to 9,471 and 14,659.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.