Home / 7,409-9,624

Finding the Third Proportional to 7,409 and 9,624

Calculator

Solution

The third proportional to 7,409 and 9,624 is: 12,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409 : 9,624 = 9,624 : x
  2. Step 2: Convert to fraction form
    7,409/9,624 = 9,624/x
  3. Step 3: Cross multiply
    7,409x = 9,624 × 9,624
  4. Step 4: Simplify right side
    7,409x = 92,621,376
  5. Step 5: Solve for x
    x = 92,621,376/7,409
  6. Step 6: Final answer
    x = 12,501.20

Related Problems

Find third proportional to 3,704.50 and 4,812
Half scale
Find third proportional to 14,818 and 19,248
Double scale
Find third proportional to 7,411 and 9,627
Similar ratio
Find third proportional to 11,113.50 and 14,436
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.