Home / 106,076-229,288

Finding the Third Proportional to 106,076 and 229,288

Calculator

Solution

The third proportional to 106,076 and 229,288 is: 495,616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,076 : 229,288 = 229,288 : x
  2. Step 2: Convert to fraction form
    106,076/229,288 = 229,288/x
  3. Step 3: Cross multiply
    106,076x = 229,288 × 229,288
  4. Step 4: Simplify right side
    106,076x = 52,572,986,944
  5. Step 5: Solve for x
    x = 52,572,986,944/106,076
  6. Step 6: Final answer
    x = 495,616.23

Related Problems

Find third proportional to 53,038 and 114,644
Half scale
Find third proportional to 212,152 and 458,576
Double scale
Find third proportional to 106,078 and 229,292
Similar ratio
Find third proportional to 159,114 and 343,932
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.