Home / 705.38-1,002.38

Finding the Third Proportional to 705.38 and 1,002.38

Calculator

Solution

The third proportional to 705.38 and 1,002.38 is: 1,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.38 : 1,002.38 = 1,002.38 : x
  2. Step 2: Convert to fraction form
    705.38/1,002.38 = 1,002.38/x
  3. Step 3: Cross multiply
    705.38x = 1,002.38 × 1,002.38
  4. Step 4: Simplify right side
    705.38x = 1,004,755.64
  5. Step 5: Solve for x
    x = 1,004,755.64/705.38
  6. Step 6: Final answer
    x = 1,424.43

Related Problems

Find third proportional to 352.69 and 501.19
Half scale
Find third proportional to 1,410.75 and 2,004.75
Double scale
Find third proportional to 707 and 1,005
Similar ratio
Find third proportional to 1,058.06 and 1,503.56
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.