Home / 69,097-149,222

Finding the Third Proportional to 69,097 and 149,222

Calculator

Solution

The third proportional to 69,097 and 149,222 is: 322,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,097 : 149,222 = 149,222 : x
  2. Step 2: Convert to fraction form
    69,097/149,222 = 149,222/x
  3. Step 3: Cross multiply
    69,097x = 149,222 × 149,222
  4. Step 4: Simplify right side
    69,097x = 22,267,205,284
  5. Step 5: Solve for x
    x = 22,267,205,284/69,097
  6. Step 6: Final answer
    x = 322,260.09

Related Problems

Find third proportional to 34,548.50 and 74,611
Half scale
Find third proportional to 138,194 and 298,444
Double scale
Find third proportional to 69,099 and 149,226
Similar ratio
Find third proportional to 103,645.50 and 223,833
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.