Home / 4,570-6,514

Finding the Third Proportional to 4,570 and 6,514

Calculator

Solution

The third proportional to 4,570 and 6,514 is: 9,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570 : 6,514 = 6,514 : x
  2. Step 2: Convert to fraction form
    4,570/6,514 = 6,514/x
  3. Step 3: Cross multiply
    4,570x = 6,514 × 6,514
  4. Step 4: Simplify right side
    4,570x = 42,432,196
  5. Step 5: Solve for x
    x = 42,432,196/4,570
  6. Step 6: Final answer
    x = 9,284.94

Related Problems

Find third proportional to 2,285 and 3,257
Half scale
Find third proportional to 9,140 and 13,028
Double scale
Find third proportional to 4,572 and 6,517
Similar ratio
Find third proportional to 6,855 and 9,771
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.