Home / 7,804-10,594

Finding the Third Proportional to 7,804 and 10,594

Calculator

Solution

The third proportional to 7,804 and 10,594 is: 14,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804 : 10,594 = 10,594 : x
  2. Step 2: Convert to fraction form
    7,804/10,594 = 10,594/x
  3. Step 3: Cross multiply
    7,804x = 10,594 × 10,594
  4. Step 4: Simplify right side
    7,804x = 112,232,836
  5. Step 5: Solve for x
    x = 112,232,836/7,804
  6. Step 6: Final answer
    x = 14,381.45

Related Problems

Find third proportional to 3,902 and 5,297
Half scale
Find third proportional to 15,608 and 21,188
Double scale
Find third proportional to 7,806 and 10,597
Similar ratio
Find third proportional to 11,706 and 15,891
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.