Home / 51,808-107,302

Finding the Third Proportional to 51,808 and 107,302

Calculator

Solution

The third proportional to 51,808 and 107,302 is: 222,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,808 : 107,302 = 107,302 : x
  2. Step 2: Convert to fraction form
    51,808/107,302 = 107,302/x
  3. Step 3: Cross multiply
    51,808x = 107,302 × 107,302
  4. Step 4: Simplify right side
    51,808x = 11,513,719,204
  5. Step 5: Solve for x
    x = 11,513,719,204/51,808
  6. Step 6: Final answer
    x = 222,238.25

Related Problems

Find third proportional to 25,904 and 53,651
Half scale
Find third proportional to 103,616 and 214,604
Double scale
Find third proportional to 51,810 and 107,306
Similar ratio
Find third proportional to 77,712 and 160,953
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.