Home / 381,312-829,024

Finding the Third Proportional to 381,312 and 829,024

Calculator

Solution

The third proportional to 381,312 and 829,024 is: 1,802,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,312 : 829,024 = 829,024 : x
  2. Step 2: Convert to fraction form
    381,312/829,024 = 829,024/x
  3. Step 3: Cross multiply
    381,312x = 829,024 × 829,024
  4. Step 4: Simplify right side
    381,312x = 687,280,792,576
  5. Step 5: Solve for x
    x = 687,280,792,576/381,312
  6. Step 6: Final answer
    x = 1,802,410.60

Related Problems

Find third proportional to 190,656 and 414,512
Half scale
Find third proportional to 762,624 and 1,658,048
Double scale
Find third proportional to 381,314 and 829,028
Similar ratio
Find third proportional to 571,968 and 1,243,536
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.