Home / 1,577-3,470

Finding the Third Proportional to 1,577 and 3,470

Calculator

Solution

The third proportional to 1,577 and 3,470 is: 7,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577 : 3,470 = 3,470 : x
  2. Step 2: Convert to fraction form
    1,577/3,470 = 3,470/x
  3. Step 3: Cross multiply
    1,577x = 3,470 × 3,470
  4. Step 4: Simplify right side
    1,577x = 12,040,900
  5. Step 5: Solve for x
    x = 12,040,900/1,577
  6. Step 6: Final answer
    x = 7,635.32

Related Problems

Find third proportional to 788.50 and 1,735
Half scale
Find third proportional to 3,154 and 6,940
Double scale
Find third proportional to 1,579 and 3,474
Similar ratio
Find third proportional to 2,365.50 and 5,205
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.