Home / 381,704-829,180

Finding the Third Proportional to 381,704 and 829,180

Calculator

Solution

The third proportional to 381,704 and 829,180 is: 1,801,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,704 : 829,180 = 829,180 : x
  2. Step 2: Convert to fraction form
    381,704/829,180 = 829,180/x
  3. Step 3: Cross multiply
    381,704x = 829,180 × 829,180
  4. Step 4: Simplify right side
    381,704x = 687,539,472,400
  5. Step 5: Solve for x
    x = 687,539,472,400/381,704
  6. Step 6: Final answer
    x = 1,801,237.27

Related Problems

Find third proportional to 190,852 and 414,590
Half scale
Find third proportional to 763,408 and 1,658,360
Double scale
Find third proportional to 381,706 and 829,184
Similar ratio
Find third proportional to 572,556 and 1,243,770
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.