Home / 312.25-457

Finding the Third Proportional to 312.25 and 457

Calculator

Solution

The third proportional to 312.25 and 457 is: 668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.25 : 457 = 457 : x
  2. Step 2: Convert to fraction form
    312.25/457 = 457/x
  3. Step 3: Cross multiply
    312.25x = 457 × 457
  4. Step 4: Simplify right side
    312.25x = 208,849
  5. Step 5: Solve for x
    x = 208,849/312.25
  6. Step 6: Final answer
    x = 668.85

Related Problems

Find third proportional to 156.13 and 228.50
Half scale
Find third proportional to 624.50 and 914
Double scale
Find third proportional to 314 and 460
Similar ratio
Find third proportional to 468.38 and 685.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.