Home / 189,897-405,210

Finding the Third Proportional to 189,897 and 405,210

Calculator

Solution

The third proportional to 189,897 and 405,210 is: 864,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,897 : 405,210 = 405,210 : x
  2. Step 2: Convert to fraction form
    189,897/405,210 = 405,210/x
  3. Step 3: Cross multiply
    189,897x = 405,210 × 405,210
  4. Step 4: Simplify right side
    189,897x = 164,195,144,100
  5. Step 5: Solve for x
    x = 164,195,144,100/189,897
  6. Step 6: Final answer
    x = 864,653.70

Related Problems

Find third proportional to 94,948.50 and 202,605
Half scale
Find third proportional to 379,794 and 810,420
Double scale
Find third proportional to 189,899 and 405,214
Similar ratio
Find third proportional to 284,845.50 and 607,815
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.