Home / 286,366-420,782

Finding the Third Proportional to 286,366 and 420,782

Calculator

Solution

The third proportional to 286,366 and 420,782 is: 618,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,366 : 420,782 = 420,782 : x
  2. Step 2: Convert to fraction form
    286,366/420,782 = 420,782/x
  3. Step 3: Cross multiply
    286,366x = 420,782 × 420,782
  4. Step 4: Simplify right side
    286,366x = 177,057,491,524
  5. Step 5: Solve for x
    x = 177,057,491,524/286,366
  6. Step 6: Final answer
    x = 618,290.90

Related Problems

Find third proportional to 143,183 and 210,391
Half scale
Find third proportional to 572,732 and 841,564
Double scale
Find third proportional to 286,368 and 420,785
Similar ratio
Find third proportional to 429,549 and 631,173
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.