Home / 535-640

Finding the Third Proportional to 535 and 640

Calculator

Solution

The third proportional to 535 and 640 is: 765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    535 : 640 = 640 : x
  2. Step 2: Convert to fraction form
    535/640 = 640/x
  3. Step 3: Cross multiply
    535x = 640 × 640
  4. Step 4: Simplify right side
    535x = 409,600
  5. Step 5: Solve for x
    x = 409,600/535
  6. Step 6: Final answer
    x = 765.61

Related Problems

Find third proportional to 267.50 and 320
Half scale
Find third proportional to 1,070 and 1,280
Double scale
Find third proportional to 537 and 642
Similar ratio
Find third proportional to 802.50 and 960
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.