Home / 102,678-150,459

Finding the Third Proportional to 102,678 and 150,459

Calculator

Solution

The third proportional to 102,678 and 150,459 is: 220,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,678 : 150,459 = 150,459 : x
  2. Step 2: Convert to fraction form
    102,678/150,459 = 150,459/x
  3. Step 3: Cross multiply
    102,678x = 150,459 × 150,459
  4. Step 4: Simplify right side
    102,678x = 22,637,910,681
  5. Step 5: Solve for x
    x = 22,637,910,681/102,678
  6. Step 6: Final answer
    x = 220,474.79

Related Problems

Find third proportional to 51,339 and 75,229.50
Half scale
Find third proportional to 205,356 and 300,918
Double scale
Find third proportional to 102,680 and 150,462
Similar ratio
Find third proportional to 154,017 and 225,688.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.