Home / 258,285-387,414

Finding the Third Proportional to 258,285 and 387,414

Calculator

Solution

The third proportional to 258,285 and 387,414 is: 581,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,285 : 387,414 = 387,414 : x
  2. Step 2: Convert to fraction form
    258,285/387,414 = 387,414/x
  3. Step 3: Cross multiply
    258,285x = 387,414 × 387,414
  4. Step 4: Simplify right side
    258,285x = 150,089,607,396
  5. Step 5: Solve for x
    x = 150,089,607,396/258,285
  6. Step 6: Final answer
    x = 581,100.75

Related Problems

Find third proportional to 129,142.50 and 193,707
Half scale
Find third proportional to 516,570 and 774,828
Double scale
Find third proportional to 258,287 and 387,417
Similar ratio
Find third proportional to 387,427.50 and 581,121
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.