Home / 262.50-407.25

Finding the Third Proportional to 262.50 and 407.25

Calculator

Solution

The third proportional to 262.50 and 407.25 is: 631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 407.25 = 407.25 : x
  2. Step 2: Convert to fraction form
    262.50/407.25 = 407.25/x
  3. Step 3: Cross multiply
    262.50x = 407.25 × 407.25
  4. Step 4: Simplify right side
    262.50x = 165,852.56
  5. Step 5: Solve for x
    x = 165,852.56/262.50
  6. Step 6: Final answer
    x = 631.82

Related Problems

Find third proportional to 131.25 and 203.63
Half scale
Find third proportional to 525 and 814.50
Double scale
Find third proportional to 265 and 410
Similar ratio
Find third proportional to 393.75 and 610.88
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.