Home / 212.81-456

Finding the Third Proportional to 212.81 and 456

Calculator

Solution

The third proportional to 212.81 and 456 is: 977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.81 : 456 = 456 : x
  2. Step 2: Convert to fraction form
    212.81/456 = 456/x
  3. Step 3: Cross multiply
    212.81x = 456 × 456
  4. Step 4: Simplify right side
    212.81x = 207,936
  5. Step 5: Solve for x
    x = 207,936/212.81
  6. Step 6: Final answer
    x = 977.09

Related Problems

Find third proportional to 106.41 and 228
Half scale
Find third proportional to 425.63 and 912
Double scale
Find third proportional to 215 and 460
Similar ratio
Find third proportional to 319.22 and 684
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.