Home / 4,658-6,982

Finding the Third Proportional to 4,658 and 6,982

Calculator

Solution

The third proportional to 4,658 and 6,982 is: 10,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658 : 6,982 = 6,982 : x
  2. Step 2: Convert to fraction form
    4,658/6,982 = 6,982/x
  3. Step 3: Cross multiply
    4,658x = 6,982 × 6,982
  4. Step 4: Simplify right side
    4,658x = 48,748,324
  5. Step 5: Solve for x
    x = 48,748,324/4,658
  6. Step 6: Final answer
    x = 10,465.51

Related Problems

Find third proportional to 2,329 and 3,491
Half scale
Find third proportional to 9,316 and 13,964
Double scale
Find third proportional to 4,660 and 6,985
Similar ratio
Find third proportional to 6,987 and 10,473
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.