Home / 164,995-257,351

Finding the Third Proportional to 164,995 and 257,351

Calculator

Solution

The third proportional to 164,995 and 257,351 is: 401,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,995 : 257,351 = 257,351 : x
  2. Step 2: Convert to fraction form
    164,995/257,351 = 257,351/x
  3. Step 3: Cross multiply
    164,995x = 257,351 × 257,351
  4. Step 4: Simplify right side
    164,995x = 66,229,537,201
  5. Step 5: Solve for x
    x = 66,229,537,201/164,995
  6. Step 6: Final answer
    x = 401,403.30

Related Problems

Find third proportional to 82,497.50 and 128,675.50
Half scale
Find third proportional to 329,990 and 514,702
Double scale
Find third proportional to 164,997 and 257,354
Similar ratio
Find third proportional to 247,492.50 and 386,026.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.