Home / 1,570-3,490

Finding the Third Proportional to 1,570 and 3,490

Calculator

Solution

The third proportional to 1,570 and 3,490 is: 7,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570 : 3,490 = 3,490 : x
  2. Step 2: Convert to fraction form
    1,570/3,490 = 3,490/x
  3. Step 3: Cross multiply
    1,570x = 3,490 × 3,490
  4. Step 4: Simplify right side
    1,570x = 12,180,100
  5. Step 5: Solve for x
    x = 12,180,100/1,570
  6. Step 6: Final answer
    x = 7,758.03

Related Problems

Find third proportional to 785 and 1,745
Half scale
Find third proportional to 3,140 and 6,980
Double scale
Find third proportional to 1,572 and 3,494
Similar ratio
Find third proportional to 2,355 and 5,235
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.