Home / 650-1,009

Finding the Third Proportional to 650 and 1,009

Calculator

Solution

The third proportional to 650 and 1,009 is: 1,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    650 : 1,009 = 1,009 : x
  2. Step 2: Convert to fraction form
    650/1,009 = 1,009/x
  3. Step 3: Cross multiply
    650x = 1,009 × 1,009
  4. Step 4: Simplify right side
    650x = 1,018,081
  5. Step 5: Solve for x
    x = 1,018,081/650
  6. Step 6: Final answer
    x = 1,566.28

Related Problems

Find third proportional to 325 and 504.50
Half scale
Find third proportional to 1,300 and 2,018
Double scale
Find third proportional to 652 and 1,012
Similar ratio
Find third proportional to 975 and 1,513.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.