Home / 286,224-420,582

Finding the Third Proportional to 286,224 and 420,582

Calculator

Solution

The third proportional to 286,224 and 420,582 is: 618,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,224 : 420,582 = 420,582 : x
  2. Step 2: Convert to fraction form
    286,224/420,582 = 420,582/x
  3. Step 3: Cross multiply
    286,224x = 420,582 × 420,582
  4. Step 4: Simplify right side
    286,224x = 176,889,218,724
  5. Step 5: Solve for x
    x = 176,889,218,724/286,224
  6. Step 6: Final answer
    x = 618,009.74

Related Problems

Find third proportional to 143,112 and 210,291
Half scale
Find third proportional to 572,448 and 841,164
Double scale
Find third proportional to 286,226 and 420,585
Similar ratio
Find third proportional to 429,336 and 630,873
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.