Home / 76,821-164,298

Finding the Third Proportional to 76,821 and 164,298

Calculator

Solution

The third proportional to 76,821 and 164,298 is: 351,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,821 : 164,298 = 164,298 : x
  2. Step 2: Convert to fraction form
    76,821/164,298 = 164,298/x
  3. Step 3: Cross multiply
    76,821x = 164,298 × 164,298
  4. Step 4: Simplify right side
    76,821x = 26,993,832,804
  5. Step 5: Solve for x
    x = 26,993,832,804/76,821
  6. Step 6: Final answer
    x = 351,386.12

Related Problems

Find third proportional to 38,410.50 and 82,149
Half scale
Find third proportional to 153,642 and 328,596
Double scale
Find third proportional to 76,823 and 164,302
Similar ratio
Find third proportional to 115,231.50 and 246,447
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.