Home / 10,289-14,659

Finding the Third Proportional to 10,289 and 14,659

Calculator

Solution

The third proportional to 10,289 and 14,659 is: 20,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289 : 14,659 = 14,659 : x
  2. Step 2: Convert to fraction form
    10,289/14,659 = 14,659/x
  3. Step 3: Cross multiply
    10,289x = 14,659 × 14,659
  4. Step 4: Simplify right side
    10,289x = 214,886,281
  5. Step 5: Solve for x
    x = 214,886,281/10,289
  6. Step 6: Final answer
    x = 20,885.05

Related Problems

Find third proportional to 5,144.50 and 7,329.50
Half scale
Find third proportional to 20,578 and 29,318
Double scale
Find third proportional to 10,291 and 14,662
Similar ratio
Find third proportional to 15,433.50 and 21,988.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.