Home / 146,706-221,463

Finding the Third Proportional to 146,706 and 221,463

Calculator

Solution

The third proportional to 146,706 and 221,463 is: 334,313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,706 : 221,463 = 221,463 : x
  2. Step 2: Convert to fraction form
    146,706/221,463 = 221,463/x
  3. Step 3: Cross multiply
    146,706x = 221,463 × 221,463
  4. Step 4: Simplify right side
    146,706x = 49,045,860,369
  5. Step 5: Solve for x
    x = 49,045,860,369/146,706
  6. Step 6: Final answer
    x = 334,313.94

Related Problems

Find third proportional to 73,353 and 110,731.50
Half scale
Find third proportional to 293,412 and 442,926
Double scale
Find third proportional to 146,708 and 221,466
Similar ratio
Find third proportional to 220,059 and 332,194.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.