Home / 64,206-137,970

Finding the Third Proportional to 64,206 and 137,970

Calculator

Solution

The third proportional to 64,206 and 137,970 is: 296,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206 : 137,970 = 137,970 : x
  2. Step 2: Convert to fraction form
    64,206/137,970 = 137,970/x
  3. Step 3: Cross multiply
    64,206x = 137,970 × 137,970
  4. Step 4: Simplify right side
    64,206x = 19,035,720,900
  5. Step 5: Solve for x
    x = 19,035,720,900/64,206
  6. Step 6: Final answer
    x = 296,478.85

Related Problems

Find third proportional to 32,103 and 68,985
Half scale
Find third proportional to 128,412 and 275,940
Double scale
Find third proportional to 64,208 and 137,974
Similar ratio
Find third proportional to 96,309 and 206,955
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.