Home / 429.75-761.63

Finding the Third Proportional to 429.75 and 761.63

Calculator

Solution

The third proportional to 429.75 and 761.63 is: 1,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.75 : 761.63 = 761.63 : x
  2. Step 2: Convert to fraction form
    429.75/761.63 = 761.63/x
  3. Step 3: Cross multiply
    429.75x = 761.63 × 761.63
  4. Step 4: Simplify right side
    429.75x = 580,072.64
  5. Step 5: Solve for x
    x = 580,072.64/429.75
  6. Step 6: Final answer
    x = 1,349.79

Related Problems

Find third proportional to 214.88 and 380.81
Half scale
Find third proportional to 859.50 and 1,523.25
Double scale
Find third proportional to 432 and 765
Similar ratio
Find third proportional to 644.63 and 1,142.44
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.