Home / 380,402-588,699

Finding the Third Proportional to 380,402 and 588,699

Calculator

Solution

The third proportional to 380,402 and 588,699 is: 911,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,402 : 588,699 = 588,699 : x
  2. Step 2: Convert to fraction form
    380,402/588,699 = 588,699/x
  3. Step 3: Cross multiply
    380,402x = 588,699 × 588,699
  4. Step 4: Simplify right side
    380,402x = 346,566,512,601
  5. Step 5: Solve for x
    x = 346,566,512,601/380,402
  6. Step 6: Final answer
    x = 911,053.34

Related Problems

Find third proportional to 190,201 and 294,349.50
Half scale
Find third proportional to 760,804 and 1,177,398
Double scale
Find third proportional to 380,404 and 588,702
Similar ratio
Find third proportional to 570,603 and 883,048.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.