Home / 69,216-107,382

Finding the Third Proportional to 69,216 and 107,382

Calculator

Solution

The third proportional to 69,216 and 107,382 is: 166,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,216 : 107,382 = 107,382 : x
  2. Step 2: Convert to fraction form
    69,216/107,382 = 107,382/x
  3. Step 3: Cross multiply
    69,216x = 107,382 × 107,382
  4. Step 4: Simplify right side
    69,216x = 11,530,893,924
  5. Step 5: Solve for x
    x = 11,530,893,924/69,216
  6. Step 6: Final answer
    x = 166,592.90

Related Problems

Find third proportional to 34,608 and 53,691
Half scale
Find third proportional to 138,432 and 214,764
Double scale
Find third proportional to 69,218 and 107,385
Similar ratio
Find third proportional to 103,824 and 161,073
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.