Home / 7,332-8,421

Finding the Third Proportional to 7,332 and 8,421

Calculator

Solution

The third proportional to 7,332 and 8,421 is: 9,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332 : 8,421 = 8,421 : x
  2. Step 2: Convert to fraction form
    7,332/8,421 = 8,421/x
  3. Step 3: Cross multiply
    7,332x = 8,421 × 8,421
  4. Step 4: Simplify right side
    7,332x = 70,913,241
  5. Step 5: Solve for x
    x = 70,913,241/7,332
  6. Step 6: Final answer
    x = 9,671.75

Related Problems

Find third proportional to 3,666 and 4,210.50
Half scale
Find third proportional to 14,664 and 16,842
Double scale
Find third proportional to 7,334 and 8,423
Similar ratio
Find third proportional to 10,998 and 12,631.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.