Home / 166,188-233,190

Finding the Third Proportional to 166,188 and 233,190

Calculator

Solution

The third proportional to 166,188 and 233,190 is: 327,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,188 : 233,190 = 233,190 : x
  2. Step 2: Convert to fraction form
    166,188/233,190 = 233,190/x
  3. Step 3: Cross multiply
    166,188x = 233,190 × 233,190
  4. Step 4: Simplify right side
    166,188x = 54,377,576,100
  5. Step 5: Solve for x
    x = 54,377,576,100/166,188
  6. Step 6: Final answer
    x = 327,205.19

Related Problems

Find third proportional to 83,094 and 116,595
Half scale
Find third proportional to 332,376 and 466,380
Double scale
Find third proportional to 166,190 and 233,193
Similar ratio
Find third proportional to 249,282 and 349,785
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.