Home / 283.78-456.09

Finding the Third Proportional to 283.78 and 456.09

Calculator

Solution

The third proportional to 283.78 and 456.09 is: 733.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.78 : 456.09 = 456.09 : x
  2. Step 2: Convert to fraction form
    283.78/456.09 = 456.09/x
  3. Step 3: Cross multiply
    283.78x = 456.09 × 456.09
  4. Step 4: Simplify right side
    283.78x = 208,021.51
  5. Step 5: Solve for x
    x = 208,021.51/283.78
  6. Step 6: Final answer
    x = 733.03

Related Problems

Find third proportional to 141.89 and 228.05
Half scale
Find third proportional to 567.56 and 912.19
Double scale
Find third proportional to 286 and 459
Similar ratio
Find third proportional to 425.67 and 684.14
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.