Home / 649.88-1,010.06

Finding the Third Proportional to 649.88 and 1,010.06

Calculator

Solution

The third proportional to 649.88 and 1,010.06 is: 1,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.88 : 1,010.06 = 1,010.06 : x
  2. Step 2: Convert to fraction form
    649.88/1,010.06 = 1,010.06/x
  3. Step 3: Cross multiply
    649.88x = 1,010.06 × 1,010.06
  4. Step 4: Simplify right side
    649.88x = 1,020,226.25
  5. Step 5: Solve for x
    x = 1,020,226.25/649.88
  6. Step 6: Final answer
    x = 1,569.88

Related Problems

Find third proportional to 324.94 and 505.03
Half scale
Find third proportional to 1,299.75 and 2,020.13
Double scale
Find third proportional to 652 and 1,013
Similar ratio
Find third proportional to 974.81 and 1,515.09
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.