Home / 531.75-828.38

Finding the Third Proportional to 531.75 and 828.38

Calculator

Solution

The third proportional to 531.75 and 828.38 is: 1,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.75 : 828.38 = 828.38 : x
  2. Step 2: Convert to fraction form
    531.75/828.38 = 828.38/x
  3. Step 3: Cross multiply
    531.75x = 828.38 × 828.38
  4. Step 4: Simplify right side
    531.75x = 686,205.14
  5. Step 5: Solve for x
    x = 686,205.14/531.75
  6. Step 6: Final answer
    x = 1,290.47

Related Problems

Find third proportional to 265.88 and 414.19
Half scale
Find third proportional to 1,063.50 and 1,656.75
Double scale
Find third proportional to 534 and 831
Similar ratio
Find third proportional to 797.63 and 1,242.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.