Home / 451-510

Finding the Third Proportional to 451 and 510

Calculator

Solution

The third proportional to 451 and 510 is: 576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    451 : 510 = 510 : x
  2. Step 2: Convert to fraction form
    451/510 = 510/x
  3. Step 3: Cross multiply
    451x = 510 × 510
  4. Step 4: Simplify right side
    451x = 260,100
  5. Step 5: Solve for x
    x = 260,100/451
  6. Step 6: Final answer
    x = 576.72

Related Problems

Find third proportional to 225.50 and 255
Half scale
Find third proportional to 902 and 1,020
Double scale
Find third proportional to 453 and 512
Similar ratio
Find third proportional to 676.50 and 765
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.