Home / 461,394-649,449

Finding the Third Proportional to 461,394 and 649,449

Calculator

Solution

The third proportional to 461,394 and 649,449 is: 914,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,394 : 649,449 = 649,449 : x
  2. Step 2: Convert to fraction form
    461,394/649,449 = 649,449/x
  3. Step 3: Cross multiply
    461,394x = 649,449 × 649,449
  4. Step 4: Simplify right side
    461,394x = 421,784,003,601
  5. Step 5: Solve for x
    x = 421,784,003,601/461,394
  6. Step 6: Final answer
    x = 914,151.47

Related Problems

Find third proportional to 230,697 and 324,724.50
Half scale
Find third proportional to 922,788 and 1,298,898
Double scale
Find third proportional to 461,396 and 649,452
Similar ratio
Find third proportional to 692,091 and 974,173.50
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.