Home / 187-457

Finding the Third Proportional to 187 and 457

Calculator

Solution

The third proportional to 187 and 457 is: 1,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187 : 457 = 457 : x
  2. Step 2: Convert to fraction form
    187/457 = 457/x
  3. Step 3: Cross multiply
    187x = 457 × 457
  4. Step 4: Simplify right side
    187x = 208,849
  5. Step 5: Solve for x
    x = 208,849/187
  6. Step 6: Final answer
    x = 1,116.84

Related Problems

Find third proportional to 93.50 and 228.50
Half scale
Find third proportional to 374 and 914
Double scale
Find third proportional to 189 and 462
Similar ratio
Find third proportional to 280.50 and 685.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.