Home / 102,395-212,967

Finding the Third Proportional to 102,395 and 212,967

Calculator

Solution

The third proportional to 102,395 and 212,967 is: 442,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,395 : 212,967 = 212,967 : x
  2. Step 2: Convert to fraction form
    102,395/212,967 = 212,967/x
  3. Step 3: Cross multiply
    102,395x = 212,967 × 212,967
  4. Step 4: Simplify right side
    102,395x = 45,354,943,089
  5. Step 5: Solve for x
    x = 45,354,943,089/102,395
  6. Step 6: Final answer
    x = 442,940.99

Related Problems

Find third proportional to 51,197.50 and 106,483.50
Half scale
Find third proportional to 204,790 and 425,934
Double scale
Find third proportional to 102,397 and 212,971
Similar ratio
Find third proportional to 153,592.50 and 319,450.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.