Home / 102,936-149,713

Finding the Third Proportional to 102,936 and 149,713

Calculator

Solution

The third proportional to 102,936 and 149,713 is: 217,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,936 : 149,713 = 149,713 : x
  2. Step 2: Convert to fraction form
    102,936/149,713 = 149,713/x
  3. Step 3: Cross multiply
    102,936x = 149,713 × 149,713
  4. Step 4: Simplify right side
    102,936x = 22,413,982,369
  5. Step 5: Solve for x
    x = 22,413,982,369/102,936
  6. Step 6: Final answer
    x = 217,746.78

Related Problems

Find third proportional to 51,468 and 74,856.50
Half scale
Find third proportional to 205,872 and 299,426
Double scale
Find third proportional to 102,938 and 149,716
Similar ratio
Find third proportional to 154,404 and 224,569.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.