Home / 540.94-784.97

Finding the Third Proportional to 540.94 and 784.97

Calculator

Solution

The third proportional to 540.94 and 784.97 is: 1,139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.94 : 784.97 = 784.97 : x
  2. Step 2: Convert to fraction form
    540.94/784.97 = 784.97/x
  3. Step 3: Cross multiply
    540.94x = 784.97 × 784.97
  4. Step 4: Simplify right side
    540.94x = 616,175.94
  5. Step 5: Solve for x
    x = 616,175.94/540.94
  6. Step 6: Final answer
    x = 1,139.09

Related Problems

Find third proportional to 270.47 and 392.48
Half scale
Find third proportional to 1,081.88 and 1,569.94
Double scale
Find third proportional to 543 and 788
Similar ratio
Find third proportional to 811.41 and 1,177.45
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.