Home / 5,840-6,464

Finding the Third Proportional to 5,840 and 6,464

Calculator

Solution

The third proportional to 5,840 and 6,464 is: 7,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 6,464 = 6,464 : x
  2. Step 2: Convert to fraction form
    5,840/6,464 = 6,464/x
  3. Step 3: Cross multiply
    5,840x = 6,464 × 6,464
  4. Step 4: Simplify right side
    5,840x = 41,783,296
  5. Step 5: Solve for x
    x = 41,783,296/5,840
  6. Step 6: Final answer
    x = 7,154.67

Related Problems

Find third proportional to 2,920 and 3,232
Half scale
Find third proportional to 11,680 and 12,928
Double scale
Find third proportional to 5,842 and 6,466
Similar ratio
Find third proportional to 8,760 and 9,696
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.