Home / 157,533-212,239

Finding the Third Proportional to 157,533 and 212,239

Calculator

Solution

The third proportional to 157,533 and 212,239 is: 285,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,533 : 212,239 = 212,239 : x
  2. Step 2: Convert to fraction form
    157,533/212,239 = 212,239/x
  3. Step 3: Cross multiply
    157,533x = 212,239 × 212,239
  4. Step 4: Simplify right side
    157,533x = 45,045,393,121
  5. Step 5: Solve for x
    x = 45,045,393,121/157,533
  6. Step 6: Final answer
    x = 285,942.58

Related Problems

Find third proportional to 78,766.50 and 106,119.50
Half scale
Find third proportional to 315,066 and 424,478
Double scale
Find third proportional to 157,535 and 212,242
Similar ratio
Find third proportional to 236,299.50 and 318,358.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.