Home / 86,409-133,299

Finding the Third Proportional to 86,409 and 133,299

Calculator

Solution

The third proportional to 86,409 and 133,299 is: 205,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,409 : 133,299 = 133,299 : x
  2. Step 2: Convert to fraction form
    86,409/133,299 = 133,299/x
  3. Step 3: Cross multiply
    86,409x = 133,299 × 133,299
  4. Step 4: Simplify right side
    86,409x = 17,768,623,401
  5. Step 5: Solve for x
    x = 17,768,623,401/86,409
  6. Step 6: Final answer
    x = 205,633.94

Related Problems

Find third proportional to 43,204.50 and 66,649.50
Half scale
Find third proportional to 172,818 and 266,598
Double scale
Find third proportional to 86,411 and 133,302
Similar ratio
Find third proportional to 129,613.50 and 199,948.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.