Home / 381,712-829,088

Finding the Third Proportional to 381,712 and 829,088

Calculator

Solution

The third proportional to 381,712 and 829,088 is: 1,800,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,712 : 829,088 = 829,088 : x
  2. Step 2: Convert to fraction form
    381,712/829,088 = 829,088/x
  3. Step 3: Cross multiply
    381,712x = 829,088 × 829,088
  4. Step 4: Simplify right side
    381,712x = 687,386,911,744
  5. Step 5: Solve for x
    x = 687,386,911,744/381,712
  6. Step 6: Final answer
    x = 1,800,799.85

Related Problems

Find third proportional to 190,856 and 414,544
Half scale
Find third proportional to 763,424 and 1,658,176
Double scale
Find third proportional to 381,714 and 829,092
Similar ratio
Find third proportional to 572,568 and 1,243,632
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.