Home / 208,102-311,580

Finding the Third Proportional to 208,102 and 311,580

Calculator

Solution

The third proportional to 208,102 and 311,580 is: 466,512.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,102 : 311,580 = 311,580 : x
  2. Step 2: Convert to fraction form
    208,102/311,580 = 311,580/x
  3. Step 3: Cross multiply
    208,102x = 311,580 × 311,580
  4. Step 4: Simplify right side
    208,102x = 97,082,096,400
  5. Step 5: Solve for x
    x = 97,082,096,400/208,102
  6. Step 6: Final answer
    x = 466,512.08

Related Problems

Find third proportional to 104,051 and 155,790
Half scale
Find third proportional to 416,204 and 623,160
Double scale
Find third proportional to 208,104 and 311,583
Similar ratio
Find third proportional to 312,153 and 467,370
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.