Home / 421.13-588.56

Finding the Third Proportional to 421.13 and 588.56

Calculator

Solution

The third proportional to 421.13 and 588.56 is: 822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.13 : 588.56 = 588.56 : x
  2. Step 2: Convert to fraction form
    421.13/588.56 = 588.56/x
  3. Step 3: Cross multiply
    421.13x = 588.56 × 588.56
  4. Step 4: Simplify right side
    421.13x = 346,405.82
  5. Step 5: Solve for x
    x = 346,405.82/421.13
  6. Step 6: Final answer
    x = 822.57

Related Problems

Find third proportional to 210.56 and 294.28
Half scale
Find third proportional to 842.25 and 1,177.13
Double scale
Find third proportional to 423 and 591
Similar ratio
Find third proportional to 631.69 and 882.84
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.