Home / 138,534-202,617

Finding the Third Proportional to 138,534 and 202,617

Calculator

Solution

The third proportional to 138,534 and 202,617 is: 296,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,534 : 202,617 = 202,617 : x
  2. Step 2: Convert to fraction form
    138,534/202,617 = 202,617/x
  3. Step 3: Cross multiply
    138,534x = 202,617 × 202,617
  4. Step 4: Simplify right side
    138,534x = 41,053,648,689
  5. Step 5: Solve for x
    x = 41,053,648,689/138,534
  6. Step 6: Final answer
    x = 296,343.49

Related Problems

Find third proportional to 69,267 and 101,308.50
Half scale
Find third proportional to 277,068 and 405,234
Double scale
Find third proportional to 138,536 and 202,620
Similar ratio
Find third proportional to 207,801 and 303,925.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.