Home / 7,314-9,835

Finding the Third Proportional to 7,314 and 9,835

Calculator

Solution

The third proportional to 7,314 and 9,835 is: 13,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314 : 9,835 = 9,835 : x
  2. Step 2: Convert to fraction form
    7,314/9,835 = 9,835/x
  3. Step 3: Cross multiply
    7,314x = 9,835 × 9,835
  4. Step 4: Simplify right side
    7,314x = 96,727,225
  5. Step 5: Solve for x
    x = 96,727,225/7,314
  6. Step 6: Final answer
    x = 13,224.94

Related Problems

Find third proportional to 3,657 and 4,917.50
Half scale
Find third proportional to 14,628 and 19,670
Double scale
Find third proportional to 7,316 and 9,838
Similar ratio
Find third proportional to 10,971 and 14,752.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.