Home / 451.13-978.19

Finding the Third Proportional to 451.13 and 978.19

Calculator

Solution

The third proportional to 451.13 and 978.19 is: 2,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.13 : 978.19 = 978.19 : x
  2. Step 2: Convert to fraction form
    451.13/978.19 = 978.19/x
  3. Step 3: Cross multiply
    451.13x = 978.19 × 978.19
  4. Step 4: Simplify right side
    451.13x = 956,850.79
  5. Step 5: Solve for x
    x = 956,850.79/451.13
  6. Step 6: Final answer
    x = 2,121.03

Related Problems

Find third proportional to 225.56 and 489.09
Half scale
Find third proportional to 902.25 and 1,956.38
Double scale
Find third proportional to 453 and 983
Similar ratio
Find third proportional to 676.69 and 1,467.28
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.