Home / 77,094-164,367

Finding the Third Proportional to 77,094 and 164,367

Calculator

Solution

The third proportional to 77,094 and 164,367 is: 350,435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,094 : 164,367 = 164,367 : x
  2. Step 2: Convert to fraction form
    77,094/164,367 = 164,367/x
  3. Step 3: Cross multiply
    77,094x = 164,367 × 164,367
  4. Step 4: Simplify right side
    77,094x = 27,016,510,689
  5. Step 5: Solve for x
    x = 27,016,510,689/77,094
  6. Step 6: Final answer
    x = 350,435.97

Related Problems

Find third proportional to 38,547 and 82,183.50
Half scale
Find third proportional to 154,188 and 328,734
Double scale
Find third proportional to 77,096 and 164,371
Similar ratio
Find third proportional to 115,641 and 246,550.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.