Home / 138,144-208,296

Finding the Third Proportional to 138,144 and 208,296

Calculator

Solution

The third proportional to 138,144 and 208,296 is: 314,072.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,144 : 208,296 = 208,296 : x
  2. Step 2: Convert to fraction form
    138,144/208,296 = 208,296/x
  3. Step 3: Cross multiply
    138,144x = 208,296 × 208,296
  4. Step 4: Simplify right side
    138,144x = 43,387,223,616
  5. Step 5: Solve for x
    x = 43,387,223,616/138,144
  6. Step 6: Final answer
    x = 314,072.44

Related Problems

Find third proportional to 69,072 and 104,148
Half scale
Find third proportional to 276,288 and 416,592
Double scale
Find third proportional to 138,146 and 208,299
Similar ratio
Find third proportional to 207,216 and 312,444
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.