Home / 1,033-1,540

Finding the Third Proportional to 1,033 and 1,540

Calculator

Solution

The third proportional to 1,033 and 1,540 is: 2,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033 : 1,540 = 1,540 : x
  2. Step 2: Convert to fraction form
    1,033/1,540 = 1,540/x
  3. Step 3: Cross multiply
    1,033x = 1,540 × 1,540
  4. Step 4: Simplify right side
    1,033x = 2,371,600
  5. Step 5: Solve for x
    x = 2,371,600/1,033
  6. Step 6: Final answer
    x = 2,295.84

Related Problems

Find third proportional to 516.50 and 770
Half scale
Find third proportional to 2,066 and 3,080
Double scale
Find third proportional to 1,035 and 1,543
Similar ratio
Find third proportional to 1,549.50 and 2,310
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.