Home / 5,140-6,730

Finding the Third Proportional to 5,140 and 6,730

Calculator

Solution

The third proportional to 5,140 and 6,730 is: 8,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140 : 6,730 = 6,730 : x
  2. Step 2: Convert to fraction form
    5,140/6,730 = 6,730/x
  3. Step 3: Cross multiply
    5,140x = 6,730 × 6,730
  4. Step 4: Simplify right side
    5,140x = 45,292,900
  5. Step 5: Solve for x
    x = 45,292,900/5,140
  6. Step 6: Final answer
    x = 8,811.85

Related Problems

Find third proportional to 2,570 and 3,365
Half scale
Find third proportional to 10,280 and 13,460
Double scale
Find third proportional to 5,142 and 6,733
Similar ratio
Find third proportional to 7,710 and 10,095
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.