Home / 106,662-230,428

Finding the Third Proportional to 106,662 and 230,428

Calculator

Solution

The third proportional to 106,662 and 230,428 is: 497,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,662 : 230,428 = 230,428 : x
  2. Step 2: Convert to fraction form
    106,662/230,428 = 230,428/x
  3. Step 3: Cross multiply
    106,662x = 230,428 × 230,428
  4. Step 4: Simplify right side
    106,662x = 53,097,063,184
  5. Step 5: Solve for x
    x = 53,097,063,184/106,662
  6. Step 6: Final answer
    x = 497,806.75

Related Problems

Find third proportional to 53,331 and 115,214
Half scale
Find third proportional to 213,324 and 460,856
Double scale
Find third proportional to 106,664 and 230,432
Similar ratio
Find third proportional to 159,993 and 345,642
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.