Home / 138,388-214,038

Finding the Third Proportional to 138,388 and 214,038

Calculator

Solution

The third proportional to 138,388 and 214,038 is: 331,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,388 : 214,038 = 214,038 : x
  2. Step 2: Convert to fraction form
    138,388/214,038 = 214,038/x
  3. Step 3: Cross multiply
    138,388x = 214,038 × 214,038
  4. Step 4: Simplify right side
    138,388x = 45,812,265,444
  5. Step 5: Solve for x
    x = 45,812,265,444/138,388
  6. Step 6: Final answer
    x = 331,042.18

Related Problems

Find third proportional to 69,194 and 107,019
Half scale
Find third proportional to 276,776 and 428,076
Double scale
Find third proportional to 138,390 and 214,041
Similar ratio
Find third proportional to 207,582 and 321,057
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.