Home / 299,684-421,556

Finding the Third Proportional to 299,684 and 421,556

Calculator

Solution

The third proportional to 299,684 and 421,556 is: 592,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,684 : 421,556 = 421,556 : x
  2. Step 2: Convert to fraction form
    299,684/421,556 = 421,556/x
  3. Step 3: Cross multiply
    299,684x = 421,556 × 421,556
  4. Step 4: Simplify right side
    299,684x = 177,709,461,136
  5. Step 5: Solve for x
    x = 177,709,461,136/299,684
  6. Step 6: Final answer
    x = 592,989.49

Related Problems

Find third proportional to 149,842 and 210,778
Half scale
Find third proportional to 599,368 and 843,112
Double scale
Find third proportional to 299,686 and 421,559
Similar ratio
Find third proportional to 449,526 and 632,334
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.