Home / 6,428-7,391

Finding the Third Proportional to 6,428 and 7,391

Calculator

Solution

The third proportional to 6,428 and 7,391 is: 8,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428 : 7,391 = 7,391 : x
  2. Step 2: Convert to fraction form
    6,428/7,391 = 7,391/x
  3. Step 3: Cross multiply
    6,428x = 7,391 × 7,391
  4. Step 4: Simplify right side
    6,428x = 54,626,881
  5. Step 5: Solve for x
    x = 54,626,881/6,428
  6. Step 6: Final answer
    x = 8,498.27

Related Problems

Find third proportional to 3,214 and 3,695.50
Half scale
Find third proportional to 12,856 and 14,782
Double scale
Find third proportional to 6,430 and 7,393
Similar ratio
Find third proportional to 9,642 and 11,086.50
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.