Home / 7,004-7,580

Finding the Third Proportional to 7,004 and 7,580

Calculator

Solution

The third proportional to 7,004 and 7,580 is: 8,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004 : 7,580 = 7,580 : x
  2. Step 2: Convert to fraction form
    7,004/7,580 = 7,580/x
  3. Step 3: Cross multiply
    7,004x = 7,580 × 7,580
  4. Step 4: Simplify right side
    7,004x = 57,456,400
  5. Step 5: Solve for x
    x = 57,456,400/7,004
  6. Step 6: Final answer
    x = 8,203.37

Related Problems

Find third proportional to 3,502 and 3,790
Half scale
Find third proportional to 14,008 and 15,160
Double scale
Find third proportional to 7,006 and 7,582
Similar ratio
Find third proportional to 10,506 and 11,370
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.