Home / 708-1,540

Finding the Third Proportional to 708 and 1,540

Calculator

Solution

The third proportional to 708 and 1,540 is: 3,349.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    708 : 1,540 = 1,540 : x
  2. Step 2: Convert to fraction form
    708/1,540 = 1,540/x
  3. Step 3: Cross multiply
    708x = 1,540 × 1,540
  4. Step 4: Simplify right side
    708x = 2,371,600
  5. Step 5: Solve for x
    x = 2,371,600/708
  6. Step 6: Final answer
    x = 3,349.72

Related Problems

Find third proportional to 354 and 770
Half scale
Find third proportional to 1,416 and 3,080
Double scale
Find third proportional to 710 and 1,544
Similar ratio
Find third proportional to 1,062 and 2,310
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.