Home / 186.50-262.25

Finding the Third Proportional to 186.50 and 262.25

Calculator

Solution

The third proportional to 186.50 and 262.25 is: 368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 262.25 = 262.25 : x
  2. Step 2: Convert to fraction form
    186.50/262.25 = 262.25/x
  3. Step 3: Cross multiply
    186.50x = 262.25 × 262.25
  4. Step 4: Simplify right side
    186.50x = 68,775.06
  5. Step 5: Solve for x
    x = 68,775.06/186.50
  6. Step 6: Final answer
    x = 368.77

Related Problems

Find third proportional to 93.25 and 131.13
Half scale
Find third proportional to 373 and 524.50
Double scale
Find third proportional to 189 and 265
Similar ratio
Find third proportional to 279.75 and 393.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.