Home / 208,066-314,286

Finding the Third Proportional to 208,066 and 314,286

Calculator

Solution

The third proportional to 208,066 and 314,286 is: 474,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,066 : 314,286 = 314,286 : x
  2. Step 2: Convert to fraction form
    208,066/314,286 = 314,286/x
  3. Step 3: Cross multiply
    208,066x = 314,286 × 314,286
  4. Step 4: Simplify right side
    208,066x = 98,775,689,796
  5. Step 5: Solve for x
    x = 98,775,689,796/208,066
  6. Step 6: Final answer
    x = 474,732.49

Related Problems

Find third proportional to 104,033 and 157,143
Half scale
Find third proportional to 416,132 and 628,572
Double scale
Find third proportional to 208,068 and 314,289
Similar ratio
Find third proportional to 312,099 and 471,429
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.