Home / 7,014-7,590

Finding the Third Proportional to 7,014 and 7,590

Calculator

Solution

The third proportional to 7,014 and 7,590 is: 8,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 7,590 = 7,590 : x
  2. Step 2: Convert to fraction form
    7,014/7,590 = 7,590/x
  3. Step 3: Cross multiply
    7,014x = 7,590 × 7,590
  4. Step 4: Simplify right side
    7,014x = 57,608,100
  5. Step 5: Solve for x
    x = 57,608,100/7,014
  6. Step 6: Final answer
    x = 8,213.30

Related Problems

Find third proportional to 3,507 and 3,795
Half scale
Find third proportional to 14,028 and 15,180
Double scale
Find third proportional to 7,016 and 7,592
Similar ratio
Find third proportional to 10,521 and 11,385
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.