Home / 1,527-3,420

Finding the Third Proportional to 1,527 and 3,420

Calculator

Solution

The third proportional to 1,527 and 3,420 is: 7,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527 : 3,420 = 3,420 : x
  2. Step 2: Convert to fraction form
    1,527/3,420 = 3,420/x
  3. Step 3: Cross multiply
    1,527x = 3,420 × 3,420
  4. Step 4: Simplify right side
    1,527x = 11,696,400
  5. Step 5: Solve for x
    x = 11,696,400/1,527
  6. Step 6: Final answer
    x = 7,659.72

Related Problems

Find third proportional to 763.50 and 1,710
Half scale
Find third proportional to 3,054 and 6,840
Double scale
Find third proportional to 1,529 and 3,424
Similar ratio
Find third proportional to 2,290.50 and 5,130
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.