Home / 5,298-9,678

Finding the Third Proportional to 5,298 and 9,678

Calculator

Solution

The third proportional to 5,298 and 9,678 is: 17,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298 : 9,678 = 9,678 : x
  2. Step 2: Convert to fraction form
    5,298/9,678 = 9,678/x
  3. Step 3: Cross multiply
    5,298x = 9,678 × 9,678
  4. Step 4: Simplify right side
    5,298x = 93,663,684
  5. Step 5: Solve for x
    x = 93,663,684/5,298
  6. Step 6: Final answer
    x = 17,679.06

Related Problems

Find third proportional to 2,649 and 4,839
Half scale
Find third proportional to 10,596 and 19,356
Double scale
Find third proportional to 5,300 and 9,682
Similar ratio
Find third proportional to 7,947 and 14,517
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.