Home / 307.69-473.06

Finding the Third Proportional to 307.69 and 473.06

Calculator

Solution

The third proportional to 307.69 and 473.06 is: 727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.69 : 473.06 = 473.06 : x
  2. Step 2: Convert to fraction form
    307.69/473.06 = 473.06/x
  3. Step 3: Cross multiply
    307.69x = 473.06 × 473.06
  4. Step 4: Simplify right side
    307.69x = 223,788.13
  5. Step 5: Solve for x
    x = 223,788.13/307.69
  6. Step 6: Final answer
    x = 727.32

Related Problems

Find third proportional to 153.84 and 236.53
Half scale
Find third proportional to 615.38 and 946.13
Double scale
Find third proportional to 310 and 476
Similar ratio
Find third proportional to 461.53 and 709.59
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.