Home / 8,661-9,471

Finding the Third Proportional to 8,661 and 9,471

Calculator

Solution

The third proportional to 8,661 and 9,471 is: 10,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661 : 9,471 = 9,471 : x
  2. Step 2: Convert to fraction form
    8,661/9,471 = 9,471/x
  3. Step 3: Cross multiply
    8,661x = 9,471 × 9,471
  4. Step 4: Simplify right side
    8,661x = 89,699,841
  5. Step 5: Solve for x
    x = 89,699,841/8,661
  6. Step 6: Final answer
    x = 10,356.75

Related Problems

Find third proportional to 4,330.50 and 4,735.50
Half scale
Find third proportional to 17,322 and 18,942
Double scale
Find third proportional to 8,663 and 9,473
Similar ratio
Find third proportional to 12,991.50 and 14,206.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.