Home / 109,201-164,570

Finding the Third Proportional to 109,201 and 164,570

Calculator

Solution

The third proportional to 109,201 and 164,570 is: 248,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,201 : 164,570 = 164,570 : x
  2. Step 2: Convert to fraction form
    109,201/164,570 = 164,570/x
  3. Step 3: Cross multiply
    109,201x = 164,570 × 164,570
  4. Step 4: Simplify right side
    109,201x = 27,083,284,900
  5. Step 5: Solve for x
    x = 27,083,284,900/109,201
  6. Step 6: Final answer
    x = 248,013.16

Related Problems

Find third proportional to 54,600.50 and 82,285
Half scale
Find third proportional to 218,402 and 329,140
Double scale
Find third proportional to 109,203 and 164,573
Similar ratio
Find third proportional to 163,801.50 and 246,855
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.