Home / 103,420-164,660

Finding the Third Proportional to 103,420 and 164,660

Calculator

Solution

The third proportional to 103,420 and 164,660 is: 262,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,420 : 164,660 = 164,660 : x
  2. Step 2: Convert to fraction form
    103,420/164,660 = 164,660/x
  3. Step 3: Cross multiply
    103,420x = 164,660 × 164,660
  4. Step 4: Simplify right side
    103,420x = 27,112,915,600
  5. Step 5: Solve for x
    x = 27,112,915,600/103,420
  6. Step 6: Final answer
    x = 262,163.18

Related Problems

Find third proportional to 51,710 and 82,330
Half scale
Find third proportional to 206,840 and 329,320
Double scale
Find third proportional to 103,422 and 164,663
Similar ratio
Find third proportional to 155,130 and 246,990
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.