Home / 137,688-193,899

Finding the Third Proportional to 137,688 and 193,899

Calculator

Solution

The third proportional to 137,688 and 193,899 is: 273,058.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,688 : 193,899 = 193,899 : x
  2. Step 2: Convert to fraction form
    137,688/193,899 = 193,899/x
  3. Step 3: Cross multiply
    137,688x = 193,899 × 193,899
  4. Step 4: Simplify right side
    137,688x = 37,596,822,201
  5. Step 5: Solve for x
    x = 37,596,822,201/137,688
  6. Step 6: Final answer
    x = 273,058.09

Related Problems

Find third proportional to 68,844 and 96,949.50
Half scale
Find third proportional to 275,376 and 387,798
Double scale
Find third proportional to 137,690 and 193,902
Similar ratio
Find third proportional to 206,532 and 290,848.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.