Home / 248.50-407

Finding the Third Proportional to 248.50 and 407

Calculator

Solution

The third proportional to 248.50 and 407 is: 666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.50 : 407 = 407 : x
  2. Step 2: Convert to fraction form
    248.50/407 = 407/x
  3. Step 3: Cross multiply
    248.50x = 407 × 407
  4. Step 4: Simplify right side
    248.50x = 165,649
  5. Step 5: Solve for x
    x = 165,649/248.50
  6. Step 6: Final answer
    x = 666.60

Related Problems

Find third proportional to 124.25 and 203.50
Half scale
Find third proportional to 497 and 814
Double scale
Find third proportional to 251 and 410
Similar ratio
Find third proportional to 372.75 and 610.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.