Home / 264.50-420.50

Finding the Third Proportional to 264.50 and 420.50

Calculator

Solution

The third proportional to 264.50 and 420.50 is: 668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.50 : 420.50 = 420.50 : x
  2. Step 2: Convert to fraction form
    264.50/420.50 = 420.50/x
  3. Step 3: Cross multiply
    264.50x = 420.50 × 420.50
  4. Step 4: Simplify right side
    264.50x = 176,820.25
  5. Step 5: Solve for x
    x = 176,820.25/264.50
  6. Step 6: Final answer
    x = 668.51

Related Problems

Find third proportional to 132.25 and 210.25
Half scale
Find third proportional to 529 and 841
Double scale
Find third proportional to 267 and 424
Similar ratio
Find third proportional to 396.75 and 630.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.