Home / 380,138-823,014

Finding the Third Proportional to 380,138 and 823,014

Calculator

Solution

The third proportional to 380,138 and 823,014 is: 1,781,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,138 : 823,014 = 823,014 : x
  2. Step 2: Convert to fraction form
    380,138/823,014 = 823,014/x
  3. Step 3: Cross multiply
    380,138x = 823,014 × 823,014
  4. Step 4: Simplify right side
    380,138x = 677,352,044,196
  5. Step 5: Solve for x
    x = 677,352,044,196/380,138
  6. Step 6: Final answer
    x = 1,781,858.28

Related Problems

Find third proportional to 190,069 and 411,507
Half scale
Find third proportional to 760,276 and 1,646,028
Double scale
Find third proportional to 380,140 and 823,018
Similar ratio
Find third proportional to 570,207 and 1,234,521
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.