Home / 77,781-120,317

Finding the Third Proportional to 77,781 and 120,317

Calculator

Solution

The third proportional to 77,781 and 120,317 is: 186,114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,781 : 120,317 = 120,317 : x
  2. Step 2: Convert to fraction form
    77,781/120,317 = 120,317/x
  3. Step 3: Cross multiply
    77,781x = 120,317 × 120,317
  4. Step 4: Simplify right side
    77,781x = 14,476,180,489
  5. Step 5: Solve for x
    x = 14,476,180,489/77,781
  6. Step 6: Final answer
    x = 186,114.61

Related Problems

Find third proportional to 38,890.50 and 60,158.50
Half scale
Find third proportional to 155,562 and 240,634
Double scale
Find third proportional to 77,783 and 120,320
Similar ratio
Find third proportional to 116,671.50 and 180,475.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.