Home / 156,977-201,564

Finding the Third Proportional to 156,977 and 201,564

Calculator

Solution

The third proportional to 156,977 and 201,564 is: 258,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,977 : 201,564 = 201,564 : x
  2. Step 2: Convert to fraction form
    156,977/201,564 = 201,564/x
  3. Step 3: Cross multiply
    156,977x = 201,564 × 201,564
  4. Step 4: Simplify right side
    156,977x = 40,628,046,096
  5. Step 5: Solve for x
    x = 40,628,046,096/156,977
  6. Step 6: Final answer
    x = 258,815.28

Related Problems

Find third proportional to 78,488.50 and 100,782
Half scale
Find third proportional to 313,954 and 403,128
Double scale
Find third proportional to 156,979 and 201,567
Similar ratio
Find third proportional to 235,465.50 and 302,346
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.