Home / 53,496-83,205

Finding the Third Proportional to 53,496 and 83,205

Calculator

Solution

The third proportional to 53,496 and 83,205 is: 129,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,496 : 83,205 = 83,205 : x
  2. Step 2: Convert to fraction form
    53,496/83,205 = 83,205/x
  3. Step 3: Cross multiply
    53,496x = 83,205 × 83,205
  4. Step 4: Simplify right side
    53,496x = 6,923,072,025
  5. Step 5: Solve for x
    x = 6,923,072,025/53,496
  6. Step 6: Final answer
    x = 129,412.89

Related Problems

Find third proportional to 26,748 and 41,602.50
Half scale
Find third proportional to 106,992 and 166,410
Double scale
Find third proportional to 53,498 and 83,208
Similar ratio
Find third proportional to 80,244 and 124,807.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.