Home / 471-1,021.69

Finding the Third Proportional to 471 and 1,021.69

Calculator

Solution

The third proportional to 471 and 1,021.69 is: 2,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 1,021.69 = 1,021.69 : x
  2. Step 2: Convert to fraction form
    471/1,021.69 = 1,021.69/x
  3. Step 3: Cross multiply
    471x = 1,021.69 × 1,021.69
  4. Step 4: Simplify right side
    471x = 1,043,845.35
  5. Step 5: Solve for x
    x = 1,043,845.35/471
  6. Step 6: Final answer
    x = 2,216.23

Related Problems

Find third proportional to 235.50 and 510.84
Half scale
Find third proportional to 942 and 2,043.38
Double scale
Find third proportional to 473 and 1,026
Similar ratio
Find third proportional to 706.50 and 1,532.53
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.