Home / 467.65-1,023.26

Finding the Third Proportional to 467.65 and 1,023.26

Calculator

Solution

The third proportional to 467.65 and 1,023.26 is: 2,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.65 : 1,023.26 = 1,023.26 : x
  2. Step 2: Convert to fraction form
    467.65/1,023.26 = 1,023.26/x
  3. Step 3: Cross multiply
    467.65x = 1,023.26 × 1,023.26
  4. Step 4: Simplify right side
    467.65x = 1,047,056.55
  5. Step 5: Solve for x
    x = 1,047,056.55/467.65
  6. Step 6: Final answer
    x = 2,238.98

Related Problems

Find third proportional to 233.82 and 511.63
Half scale
Find third proportional to 935.30 and 2,046.52
Double scale
Find third proportional to 470 and 1,028
Similar ratio
Find third proportional to 701.47 and 1,534.89
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.