Home / 177.25-284.25

Finding the Third Proportional to 177.25 and 284.25

Calculator

Solution

The third proportional to 177.25 and 284.25 is: 455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.25 : 284.25 = 284.25 : x
  2. Step 2: Convert to fraction form
    177.25/284.25 = 284.25/x
  3. Step 3: Cross multiply
    177.25x = 284.25 × 284.25
  4. Step 4: Simplify right side
    177.25x = 80,798.06
  5. Step 5: Solve for x
    x = 80,798.06/177.25
  6. Step 6: Final answer
    x = 455.84

Related Problems

Find third proportional to 88.63 and 142.13
Half scale
Find third proportional to 354.50 and 568.50
Double scale
Find third proportional to 179 and 287
Similar ratio
Find third proportional to 265.88 and 426.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.