Home / 78,820-122,106

Finding the Third Proportional to 78,820 and 122,106

Calculator

Solution

The third proportional to 78,820 and 122,106 is: 189,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,820 : 122,106 = 122,106 : x
  2. Step 2: Convert to fraction form
    78,820/122,106 = 122,106/x
  3. Step 3: Cross multiply
    78,820x = 122,106 × 122,106
  4. Step 4: Simplify right side
    78,820x = 14,909,875,236
  5. Step 5: Solve for x
    x = 14,909,875,236/78,820
  6. Step 6: Final answer
    x = 189,163.60

Related Problems

Find third proportional to 39,410 and 61,053
Half scale
Find third proportional to 157,640 and 244,212
Double scale
Find third proportional to 78,822 and 122,109
Similar ratio
Find third proportional to 118,230 and 183,159
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.