Home / 352.50-456

Finding the Third Proportional to 352.50 and 456

Calculator

Solution

The third proportional to 352.50 and 456 is: 589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.50 : 456 = 456 : x
  2. Step 2: Convert to fraction form
    352.50/456 = 456/x
  3. Step 3: Cross multiply
    352.50x = 456 × 456
  4. Step 4: Simplify right side
    352.50x = 207,936
  5. Step 5: Solve for x
    x = 207,936/352.50
  6. Step 6: Final answer
    x = 589.89

Related Problems

Find third proportional to 176.25 and 228
Half scale
Find third proportional to 705 and 912
Double scale
Find third proportional to 355 and 459
Similar ratio
Find third proportional to 528.75 and 684
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.