Home / 202,140-299,286

Finding the Third Proportional to 202,140 and 299,286

Calculator

Solution

The third proportional to 202,140 and 299,286 is: 443,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,140 : 299,286 = 299,286 : x
  2. Step 2: Convert to fraction form
    202,140/299,286 = 299,286/x
  3. Step 3: Cross multiply
    202,140x = 299,286 × 299,286
  4. Step 4: Simplify right side
    202,140x = 89,572,109,796
  5. Step 5: Solve for x
    x = 89,572,109,796/202,140
  6. Step 6: Final answer
    x = 443,119.17

Related Problems

Find third proportional to 101,070 and 149,643
Half scale
Find third proportional to 404,280 and 598,572
Double scale
Find third proportional to 202,142 and 299,289
Similar ratio
Find third proportional to 303,210 and 448,929
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.