Home / 137,465-212,846

Finding the Third Proportional to 137,465 and 212,846

Calculator

Solution

The third proportional to 137,465 and 212,846 is: 329,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,465 : 212,846 = 212,846 : x
  2. Step 2: Convert to fraction form
    137,465/212,846 = 212,846/x
  3. Step 3: Cross multiply
    137,465x = 212,846 × 212,846
  4. Step 4: Simplify right side
    137,465x = 45,303,419,716
  5. Step 5: Solve for x
    x = 45,303,419,716/137,465
  6. Step 6: Final answer
    x = 329,563.30

Related Problems

Find third proportional to 68,732.50 and 106,423
Half scale
Find third proportional to 274,930 and 425,692
Double scale
Find third proportional to 137,467 and 212,849
Similar ratio
Find third proportional to 206,197.50 and 319,269
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.