Home / 137,282-204,716

Finding the Third Proportional to 137,282 and 204,716

Calculator

Solution

The third proportional to 137,282 and 204,716 is: 305,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,282 : 204,716 = 204,716 : x
  2. Step 2: Convert to fraction form
    137,282/204,716 = 204,716/x
  3. Step 3: Cross multiply
    137,282x = 204,716 × 204,716
  4. Step 4: Simplify right side
    137,282x = 41,908,640,656
  5. Step 5: Solve for x
    x = 41,908,640,656/137,282
  6. Step 6: Final answer
    x = 305,274.11

Related Problems

Find third proportional to 68,641 and 102,358
Half scale
Find third proportional to 274,564 and 409,432
Double scale
Find third proportional to 137,284 and 204,719
Similar ratio
Find third proportional to 205,923 and 307,074
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.