Home / 102,520-156,720

Finding the Third Proportional to 102,520 and 156,720

Calculator

Solution

The third proportional to 102,520 and 156,720 is: 239,574.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,520 : 156,720 = 156,720 : x
  2. Step 2: Convert to fraction form
    102,520/156,720 = 156,720/x
  3. Step 3: Cross multiply
    102,520x = 156,720 × 156,720
  4. Step 4: Simplify right side
    102,520x = 24,561,158,400
  5. Step 5: Solve for x
    x = 24,561,158,400/102,520
  6. Step 6: Final answer
    x = 239,574.31

Related Problems

Find third proportional to 51,260 and 78,360
Half scale
Find third proportional to 205,040 and 313,440
Double scale
Find third proportional to 102,522 and 156,723
Similar ratio
Find third proportional to 153,780 and 235,080
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.