Home / 286,031-420,784

Finding the Third Proportional to 286,031 and 420,784

Calculator

Solution

The third proportional to 286,031 and 420,784 is: 619,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,031 : 420,784 = 420,784 : x
  2. Step 2: Convert to fraction form
    286,031/420,784 = 420,784/x
  3. Step 3: Cross multiply
    286,031x = 420,784 × 420,784
  4. Step 4: Simplify right side
    286,031x = 177,059,174,656
  5. Step 5: Solve for x
    x = 177,059,174,656/286,031
  6. Step 6: Final answer
    x = 619,020.93

Related Problems

Find third proportional to 143,015.50 and 210,392
Half scale
Find third proportional to 572,062 and 841,568
Double scale
Find third proportional to 286,033 and 420,787
Similar ratio
Find third proportional to 429,046.50 and 631,176
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.