Home / 184.90-257.09

Finding the Third Proportional to 184.90 and 257.09

Calculator

Solution

The third proportional to 184.90 and 257.09 is: 357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.90 : 257.09 = 257.09 : x
  2. Step 2: Convert to fraction form
    184.90/257.09 = 257.09/x
  3. Step 3: Cross multiply
    184.90x = 257.09 × 257.09
  4. Step 4: Simplify right side
    184.90x = 66,093.18
  5. Step 5: Solve for x
    x = 66,093.18/184.90
  6. Step 6: Final answer
    x = 357.46

Related Problems

Find third proportional to 92.45 and 128.54
Half scale
Find third proportional to 369.80 and 514.17
Double scale
Find third proportional to 187 and 260
Similar ratio
Find third proportional to 277.35 and 385.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.