Home / 5,460-9,858

Finding the Third Proportional to 5,460 and 9,858

Calculator

Solution

The third proportional to 5,460 and 9,858 is: 17,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460 : 9,858 = 9,858 : x
  2. Step 2: Convert to fraction form
    5,460/9,858 = 9,858/x
  3. Step 3: Cross multiply
    5,460x = 9,858 × 9,858
  4. Step 4: Simplify right side
    5,460x = 97,180,164
  5. Step 5: Solve for x
    x = 97,180,164/5,460
  6. Step 6: Final answer
    x = 17,798.56

Related Problems

Find third proportional to 2,730 and 4,929
Half scale
Find third proportional to 10,920 and 19,716
Double scale
Find third proportional to 5,462 and 9,862
Similar ratio
Find third proportional to 8,190 and 14,787
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.