Home / 53,572-82,412

Finding the Third Proportional to 53,572 and 82,412

Calculator

Solution

The third proportional to 53,572 and 82,412 is: 126,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,572 : 82,412 = 82,412 : x
  2. Step 2: Convert to fraction form
    53,572/82,412 = 82,412/x
  3. Step 3: Cross multiply
    53,572x = 82,412 × 82,412
  4. Step 4: Simplify right side
    53,572x = 6,791,737,744
  5. Step 5: Solve for x
    x = 6,791,737,744/53,572
  6. Step 6: Final answer
    x = 126,777.75

Related Problems

Find third proportional to 26,786 and 41,206
Half scale
Find third proportional to 107,144 and 164,824
Double scale
Find third proportional to 53,574 and 82,415
Similar ratio
Find third proportional to 80,358 and 123,618
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.