Home / 281.29-420.82

Finding the Third Proportional to 281.29 and 420.82

Calculator

Solution

The third proportional to 281.29 and 420.82 is: 629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.29 : 420.82 = 420.82 : x
  2. Step 2: Convert to fraction form
    281.29/420.82 = 420.82/x
  3. Step 3: Cross multiply
    281.29x = 420.82 × 420.82
  4. Step 4: Simplify right side
    281.29x = 177,089.74
  5. Step 5: Solve for x
    x = 177,089.74/281.29
  6. Step 6: Final answer
    x = 629.57

Related Problems

Find third proportional to 140.64 and 210.41
Half scale
Find third proportional to 562.57 and 841.64
Double scale
Find third proportional to 283 and 424
Similar ratio
Find third proportional to 421.93 and 631.23
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.