Home / 310-407

Finding the Third Proportional to 310 and 407

Calculator

Solution

The third proportional to 310 and 407 is: 534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310 : 407 = 407 : x
  2. Step 2: Convert to fraction form
    310/407 = 407/x
  3. Step 3: Cross multiply
    310x = 407 × 407
  4. Step 4: Simplify right side
    310x = 165,649
  5. Step 5: Solve for x
    x = 165,649/310
  6. Step 6: Final answer
    x = 534.35

Related Problems

Find third proportional to 155 and 203.50
Half scale
Find third proportional to 620 and 814
Double scale
Find third proportional to 312 and 410
Similar ratio
Find third proportional to 465 and 610.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.