Home / 77,278-164,764

Finding the Third Proportional to 77,278 and 164,764

Calculator

Solution

The third proportional to 77,278 and 164,764 is: 351,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,278 : 164,764 = 164,764 : x
  2. Step 2: Convert to fraction form
    77,278/164,764 = 164,764/x
  3. Step 3: Cross multiply
    77,278x = 164,764 × 164,764
  4. Step 4: Simplify right side
    77,278x = 27,147,175,696
  5. Step 5: Solve for x
    x = 27,147,175,696/77,278
  6. Step 6: Final answer
    x = 351,292.42

Related Problems

Find third proportional to 38,639 and 82,382
Half scale
Find third proportional to 154,556 and 329,528
Double scale
Find third proportional to 77,280 and 164,768
Similar ratio
Find third proportional to 115,917 and 247,146
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.