Home / 309.66-477.28

Finding the Third Proportional to 309.66 and 477.28

Calculator

Solution

The third proportional to 309.66 and 477.28 is: 735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.66 : 477.28 = 477.28 : x
  2. Step 2: Convert to fraction form
    309.66/477.28 = 477.28/x
  3. Step 3: Cross multiply
    309.66x = 477.28 × 477.28
  4. Step 4: Simplify right side
    309.66x = 227,797.39
  5. Step 5: Solve for x
    x = 227,797.39/309.66
  6. Step 6: Final answer
    x = 735.65

Related Problems

Find third proportional to 154.83 and 238.64
Half scale
Find third proportional to 619.31 and 954.56
Double scale
Find third proportional to 312 and 480
Similar ratio
Find third proportional to 464.48 and 715.92
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.