Home / 416.81-973.69

Finding the Third Proportional to 416.81 and 973.69

Calculator

Solution

The third proportional to 416.81 and 973.69 is: 2,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 973.69 = 973.69 : x
  2. Step 2: Convert to fraction form
    416.81/973.69 = 973.69/x
  3. Step 3: Cross multiply
    416.81x = 973.69 × 973.69
  4. Step 4: Simplify right side
    416.81x = 948,067.35
  5. Step 5: Solve for x
    x = 948,067.35/416.81
  6. Step 6: Final answer
    x = 2,274.57

Related Problems

Find third proportional to 208.41 and 486.84
Half scale
Find third proportional to 833.63 and 1,947.38
Double scale
Find third proportional to 419 and 978
Similar ratio
Find third proportional to 625.22 and 1,460.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.