Home / 146,724-213,168

Finding the Third Proportional to 146,724 and 213,168

Calculator

Solution

The third proportional to 146,724 and 213,168 is: 309,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,724 : 213,168 = 213,168 : x
  2. Step 2: Convert to fraction form
    146,724/213,168 = 213,168/x
  3. Step 3: Cross multiply
    146,724x = 213,168 × 213,168
  4. Step 4: Simplify right side
    146,724x = 45,440,596,224
  5. Step 5: Solve for x
    x = 45,440,596,224/146,724
  6. Step 6: Final answer
    x = 309,701.18

Related Problems

Find third proportional to 73,362 and 106,584
Half scale
Find third proportional to 293,448 and 426,336
Double scale
Find third proportional to 146,726 and 213,171
Similar ratio
Find third proportional to 220,086 and 319,752
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.