Home / 471,509-964,807

Finding the Third Proportional to 471,509 and 964,807

Calculator

Solution

The third proportional to 471,509 and 964,807 is: 1,974,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,509 : 964,807 = 964,807 : x
  2. Step 2: Convert to fraction form
    471,509/964,807 = 964,807/x
  3. Step 3: Cross multiply
    471,509x = 964,807 × 964,807
  4. Step 4: Simplify right side
    471,509x = 930,852,547,249
  5. Step 5: Solve for x
    x = 930,852,547,249/471,509
  6. Step 6: Final answer
    x = 1,974,198.90

Related Problems

Find third proportional to 235,754.50 and 482,403.50
Half scale
Find third proportional to 943,018 and 1,929,614
Double scale
Find third proportional to 471,511 and 964,811
Similar ratio
Find third proportional to 707,263.50 and 1,447,210.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.