Home / 381,774-829,164

Finding the Third Proportional to 381,774 and 829,164

Calculator

Solution

The third proportional to 381,774 and 829,164 is: 1,800,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,774 : 829,164 = 829,164 : x
  2. Step 2: Convert to fraction form
    381,774/829,164 = 829,164/x
  3. Step 3: Cross multiply
    381,774x = 829,164 × 829,164
  4. Step 4: Simplify right side
    381,774x = 687,512,938,896
  5. Step 5: Solve for x
    x = 687,512,938,896/381,774
  6. Step 6: Final answer
    x = 1,800,837.51

Related Problems

Find third proportional to 190,887 and 414,582
Half scale
Find third proportional to 763,548 and 1,658,328
Double scale
Find third proportional to 381,776 and 829,168
Similar ratio
Find third proportional to 572,661 and 1,243,746
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.