Home / 283,112-412,983

Finding the Third Proportional to 283,112 and 412,983

Calculator

Solution

The third proportional to 283,112 and 412,983 is: 602,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,112 : 412,983 = 412,983 : x
  2. Step 2: Convert to fraction form
    283,112/412,983 = 412,983/x
  3. Step 3: Cross multiply
    283,112x = 412,983 × 412,983
  4. Step 4: Simplify right side
    283,112x = 170,554,958,289
  5. Step 5: Solve for x
    x = 170,554,958,289/283,112
  6. Step 6: Final answer
    x = 602,429.28

Related Problems

Find third proportional to 141,556 and 206,491.50
Half scale
Find third proportional to 566,224 and 825,966
Double scale
Find third proportional to 283,114 and 412,986
Similar ratio
Find third proportional to 424,668 and 619,474.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.