Home / 7,624-8,424

Finding the Third Proportional to 7,624 and 8,424

Calculator

Solution

The third proportional to 7,624 and 8,424 is: 9,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624 : 8,424 = 8,424 : x
  2. Step 2: Convert to fraction form
    7,624/8,424 = 8,424/x
  3. Step 3: Cross multiply
    7,624x = 8,424 × 8,424
  4. Step 4: Simplify right side
    7,624x = 70,963,776
  5. Step 5: Solve for x
    x = 70,963,776/7,624
  6. Step 6: Final answer
    x = 9,307.95

Related Problems

Find third proportional to 3,812 and 4,212
Half scale
Find third proportional to 15,248 and 16,848
Double scale
Find third proportional to 7,626 and 8,426
Similar ratio
Find third proportional to 11,436 and 12,636
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.