Home / 4,658-6,529

Finding the Third Proportional to 4,658 and 6,529

Calculator

Solution

The third proportional to 4,658 and 6,529 is: 9,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658 : 6,529 = 6,529 : x
  2. Step 2: Convert to fraction form
    4,658/6,529 = 6,529/x
  3. Step 3: Cross multiply
    4,658x = 6,529 × 6,529
  4. Step 4: Simplify right side
    4,658x = 42,627,841
  5. Step 5: Solve for x
    x = 42,627,841/4,658
  6. Step 6: Final answer
    x = 9,151.53

Related Problems

Find third proportional to 2,329 and 3,264.50
Half scale
Find third proportional to 9,316 and 13,058
Double scale
Find third proportional to 4,660 and 6,532
Similar ratio
Find third proportional to 6,987 and 9,793.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.