Home / 133,920-212,706

Finding the Third Proportional to 133,920 and 212,706

Calculator

Solution

The third proportional to 133,920 and 212,706 is: 337,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,920 : 212,706 = 212,706 : x
  2. Step 2: Convert to fraction form
    133,920/212,706 = 212,706/x
  3. Step 3: Cross multiply
    133,920x = 212,706 × 212,706
  4. Step 4: Simplify right side
    133,920x = 45,243,842,436
  5. Step 5: Solve for x
    x = 45,243,842,436/133,920
  6. Step 6: Final answer
    x = 337,842.31

Related Problems

Find third proportional to 66,960 and 106,353
Half scale
Find third proportional to 267,840 and 425,412
Double scale
Find third proportional to 133,922 and 212,709
Similar ratio
Find third proportional to 200,880 and 319,059
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.