Home / 106,588-216,836

Finding the Third Proportional to 106,588 and 216,836

Calculator

Solution

The third proportional to 106,588 and 216,836 is: 441,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,588 : 216,836 = 216,836 : x
  2. Step 2: Convert to fraction form
    106,588/216,836 = 216,836/x
  3. Step 3: Cross multiply
    106,588x = 216,836 × 216,836
  4. Step 4: Simplify right side
    106,588x = 47,017,850,896
  5. Step 5: Solve for x
    x = 47,017,850,896/106,588
  6. Step 6: Final answer
    x = 441,117.68

Related Problems

Find third proportional to 53,294 and 108,418
Half scale
Find third proportional to 213,176 and 433,672
Double scale
Find third proportional to 106,590 and 216,840
Similar ratio
Find third proportional to 159,882 and 325,254
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.