Home / 306-429

Finding the Third Proportional to 306 and 429

Calculator

Solution

The third proportional to 306 and 429 is: 601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 429 = 429 : x
  2. Step 2: Convert to fraction form
    306/429 = 429/x
  3. Step 3: Cross multiply
    306x = 429 × 429
  4. Step 4: Simplify right side
    306x = 184,041
  5. Step 5: Solve for x
    x = 184,041/306
  6. Step 6: Final answer
    x = 601.44

Related Problems

Find third proportional to 153 and 214.50
Half scale
Find third proportional to 612 and 858
Double scale
Find third proportional to 308 and 432
Similar ratio
Find third proportional to 459 and 643.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.