Home / 77,304-164,085

Finding the Third Proportional to 77,304 and 164,085

Calculator

Solution

The third proportional to 77,304 and 164,085 is: 348,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,304 : 164,085 = 164,085 : x
  2. Step 2: Convert to fraction form
    77,304/164,085 = 164,085/x
  3. Step 3: Cross multiply
    77,304x = 164,085 × 164,085
  4. Step 4: Simplify right side
    77,304x = 26,923,887,225
  5. Step 5: Solve for x
    x = 26,923,887,225/77,304
  6. Step 6: Final answer
    x = 348,285.82

Related Problems

Find third proportional to 38,652 and 82,042.50
Half scale
Find third proportional to 154,608 and 328,170
Double scale
Find third proportional to 77,306 and 164,089
Similar ratio
Find third proportional to 115,956 and 246,127.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.