Home / 109,586-156,747

Finding the Third Proportional to 109,586 and 156,747

Calculator

Solution

The third proportional to 109,586 and 156,747 is: 224,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,586 : 156,747 = 156,747 : x
  2. Step 2: Convert to fraction form
    109,586/156,747 = 156,747/x
  3. Step 3: Cross multiply
    109,586x = 156,747 × 156,747
  4. Step 4: Simplify right side
    109,586x = 24,569,622,009
  5. Step 5: Solve for x
    x = 24,569,622,009/109,586
  6. Step 6: Final answer
    x = 224,204.02

Related Problems

Find third proportional to 54,793 and 78,373.50
Half scale
Find third proportional to 219,172 and 313,494
Double scale
Find third proportional to 109,588 and 156,750
Similar ratio
Find third proportional to 164,379 and 235,120.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.