Home / 287-434

Finding the Third Proportional to 287 and 434

Calculator

Solution

The third proportional to 287 and 434 is: 656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287 : 434 = 434 : x
  2. Step 2: Convert to fraction form
    287/434 = 434/x
  3. Step 3: Cross multiply
    287x = 434 × 434
  4. Step 4: Simplify right side
    287x = 188,356
  5. Step 5: Solve for x
    x = 188,356/287
  6. Step 6: Final answer
    x = 656.29

Related Problems

Find third proportional to 143.50 and 217
Half scale
Find third proportional to 574 and 868
Double scale
Find third proportional to 289 and 437
Similar ratio
Find third proportional to 430.50 and 651
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.