Home / 421,546-642,822

Finding the Third Proportional to 421,546 and 642,822

Calculator

Solution

The third proportional to 421,546 and 642,822 is: 980,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,546 : 642,822 = 642,822 : x
  2. Step 2: Convert to fraction form
    421,546/642,822 = 642,822/x
  3. Step 3: Cross multiply
    421,546x = 642,822 × 642,822
  4. Step 4: Simplify right side
    421,546x = 413,220,123,684
  5. Step 5: Solve for x
    x = 413,220,123,684/421,546
  6. Step 6: Final answer
    x = 980,249.19

Related Problems

Find third proportional to 210,773 and 321,411
Half scale
Find third proportional to 843,092 and 1,285,644
Double scale
Find third proportional to 421,548 and 642,825
Similar ratio
Find third proportional to 632,319 and 964,233
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.