Home / 301.50-455.63

Finding the Third Proportional to 301.50 and 455.63

Calculator

Solution

The third proportional to 301.50 and 455.63 is: 688.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 455.63 = 455.63 : x
  2. Step 2: Convert to fraction form
    301.50/455.63 = 455.63/x
  3. Step 3: Cross multiply
    301.50x = 455.63 × 455.63
  4. Step 4: Simplify right side
    301.50x = 207,594.14
  5. Step 5: Solve for x
    x = 207,594.14/301.50
  6. Step 6: Final answer
    x = 688.54

Related Problems

Find third proportional to 150.75 and 227.81
Half scale
Find third proportional to 603 and 911.25
Double scale
Find third proportional to 304 and 459
Similar ratio
Find third proportional to 452.25 and 683.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.