Home / 286,362-420,777

Finding the Third Proportional to 286,362 and 420,777

Calculator

Solution

The third proportional to 286,362 and 420,777 is: 618,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,362 : 420,777 = 420,777 : x
  2. Step 2: Convert to fraction form
    286,362/420,777 = 420,777/x
  3. Step 3: Cross multiply
    286,362x = 420,777 × 420,777
  4. Step 4: Simplify right side
    286,362x = 177,053,283,729
  5. Step 5: Solve for x
    x = 177,053,283,729/286,362
  6. Step 6: Final answer
    x = 618,284.84

Related Problems

Find third proportional to 143,181 and 210,388.50
Half scale
Find third proportional to 572,724 and 841,554
Double scale
Find third proportional to 286,364 and 420,780
Similar ratio
Find third proportional to 429,543 and 631,165.50
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.