Home / 286,110-420,396

Finding the Third Proportional to 286,110 and 420,396

Calculator

Solution

The third proportional to 286,110 and 420,396 is: 617,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,110 : 420,396 = 420,396 : x
  2. Step 2: Convert to fraction form
    286,110/420,396 = 420,396/x
  3. Step 3: Cross multiply
    286,110x = 420,396 × 420,396
  4. Step 4: Simplify right side
    286,110x = 176,732,796,816
  5. Step 5: Solve for x
    x = 176,732,796,816/286,110
  6. Step 6: Final answer
    x = 617,709.26

Related Problems

Find third proportional to 143,055 and 210,198
Half scale
Find third proportional to 572,220 and 840,792
Double scale
Find third proportional to 286,112 and 420,399
Similar ratio
Find third proportional to 429,165 and 630,594
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.