Home / 102,840-156,432

Finding the Third Proportional to 102,840 and 156,432

Calculator

Solution

The third proportional to 102,840 and 156,432 is: 237,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,840 : 156,432 = 156,432 : x
  2. Step 2: Convert to fraction form
    102,840/156,432 = 156,432/x
  3. Step 3: Cross multiply
    102,840x = 156,432 × 156,432
  4. Step 4: Simplify right side
    102,840x = 24,470,970,624
  5. Step 5: Solve for x
    x = 24,470,970,624/102,840
  6. Step 6: Final answer
    x = 237,951.87

Related Problems

Find third proportional to 51,420 and 78,216
Half scale
Find third proportional to 205,680 and 312,864
Double scale
Find third proportional to 102,842 and 156,435
Similar ratio
Find third proportional to 154,260 and 234,648
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.