Home / 307.13-433.69

Finding the Third Proportional to 307.13 and 433.69

Calculator

Solution

The third proportional to 307.13 and 433.69 is: 612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.13 : 433.69 = 433.69 : x
  2. Step 2: Convert to fraction form
    307.13/433.69 = 433.69/x
  3. Step 3: Cross multiply
    307.13x = 433.69 × 433.69
  4. Step 4: Simplify right side
    307.13x = 188,084.85
  5. Step 5: Solve for x
    x = 188,084.85/307.13
  6. Step 6: Final answer
    x = 612.40

Related Problems

Find third proportional to 153.56 and 216.84
Half scale
Find third proportional to 614.25 and 867.38
Double scale
Find third proportional to 309 and 437
Similar ratio
Find third proportional to 460.69 and 650.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.