Home / 388,232-823,114

Finding the Third Proportional to 388,232 and 823,114

Calculator

Solution

The third proportional to 388,232 and 823,114 is: 1,745,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,232 : 823,114 = 823,114 : x
  2. Step 2: Convert to fraction form
    388,232/823,114 = 823,114/x
  3. Step 3: Cross multiply
    388,232x = 823,114 × 823,114
  4. Step 4: Simplify right side
    388,232x = 677,516,656,996
  5. Step 5: Solve for x
    x = 677,516,656,996/388,232
  6. Step 6: Final answer
    x = 1,745,133.47

Related Problems

Find third proportional to 194,116 and 411,557
Half scale
Find third proportional to 776,464 and 1,646,228
Double scale
Find third proportional to 388,234 and 823,118
Similar ratio
Find third proportional to 582,348 and 1,234,671
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.