Home / 4,656-6,513

Finding the Third Proportional to 4,656 and 6,513

Calculator

Solution

The third proportional to 4,656 and 6,513 is: 9,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656 : 6,513 = 6,513 : x
  2. Step 2: Convert to fraction form
    4,656/6,513 = 6,513/x
  3. Step 3: Cross multiply
    4,656x = 6,513 × 6,513
  4. Step 4: Simplify right side
    4,656x = 42,419,169
  5. Step 5: Solve for x
    x = 42,419,169/4,656
  6. Step 6: Final answer
    x = 9,110.65

Related Problems

Find third proportional to 2,328 and 3,256.50
Half scale
Find third proportional to 9,312 and 13,026
Double scale
Find third proportional to 4,658 and 6,516
Similar ratio
Find third proportional to 6,984 and 9,769.50
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.