Home / 510-647

Finding the Third Proportional to 510 and 647

Calculator

Solution

The third proportional to 510 and 647 is: 820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510 : 647 = 647 : x
  2. Step 2: Convert to fraction form
    510/647 = 647/x
  3. Step 3: Cross multiply
    510x = 647 × 647
  4. Step 4: Simplify right side
    510x = 418,609
  5. Step 5: Solve for x
    x = 418,609/510
  6. Step 6: Final answer
    x = 820.80

Related Problems

Find third proportional to 255 and 323.50
Half scale
Find third proportional to 1,020 and 1,294
Double scale
Find third proportional to 512 and 650
Similar ratio
Find third proportional to 765 and 970.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.