Home / 75,333-102,196

Finding the Third Proportional to 75,333 and 102,196

Calculator

Solution

The third proportional to 75,333 and 102,196 is: 138,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,333 : 102,196 = 102,196 : x
  2. Step 2: Convert to fraction form
    75,333/102,196 = 102,196/x
  3. Step 3: Cross multiply
    75,333x = 102,196 × 102,196
  4. Step 4: Simplify right side
    75,333x = 10,444,022,416
  5. Step 5: Solve for x
    x = 10,444,022,416/75,333
  6. Step 6: Final answer
    x = 138,638.08

Related Problems

Find third proportional to 37,666.50 and 51,098
Half scale
Find third proportional to 150,666 and 204,392
Double scale
Find third proportional to 75,335 and 102,199
Similar ratio
Find third proportional to 112,999.50 and 153,294
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.