Home / 146,431-221,206

Finding the Third Proportional to 146,431 and 221,206

Calculator

Solution

The third proportional to 146,431 and 221,206 is: 334,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,431 : 221,206 = 221,206 : x
  2. Step 2: Convert to fraction form
    146,431/221,206 = 221,206/x
  3. Step 3: Cross multiply
    146,431x = 221,206 × 221,206
  4. Step 4: Simplify right side
    146,431x = 48,932,094,436
  5. Step 5: Solve for x
    x = 48,932,094,436/146,431
  6. Step 6: Final answer
    x = 334,164.86

Related Problems

Find third proportional to 73,215.50 and 110,603
Half scale
Find third proportional to 292,862 and 442,412
Double scale
Find third proportional to 146,433 and 221,209
Similar ratio
Find third proportional to 219,646.50 and 331,809
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.