Home / 106,078-229,292

Finding the Third Proportional to 106,078 and 229,292

Calculator

Solution

The third proportional to 106,078 and 229,292 is: 495,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,078 : 229,292 = 229,292 : x
  2. Step 2: Convert to fraction form
    106,078/229,292 = 229,292/x
  3. Step 3: Cross multiply
    106,078x = 229,292 × 229,292
  4. Step 4: Simplify right side
    106,078x = 52,574,821,264
  5. Step 5: Solve for x
    x = 52,574,821,264/106,078
  6. Step 6: Final answer
    x = 495,624.18

Related Problems

Find third proportional to 53,039 and 114,646
Half scale
Find third proportional to 212,156 and 458,584
Double scale
Find third proportional to 106,080 and 229,296
Similar ratio
Find third proportional to 159,117 and 343,938
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.