Home / 349.50-420.75

Finding the Third Proportional to 349.50 and 420.75

Calculator

Solution

The third proportional to 349.50 and 420.75 is: 506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.50 : 420.75 = 420.75 : x
  2. Step 2: Convert to fraction form
    349.50/420.75 = 420.75/x
  3. Step 3: Cross multiply
    349.50x = 420.75 × 420.75
  4. Step 4: Simplify right side
    349.50x = 177,030.56
  5. Step 5: Solve for x
    x = 177,030.56/349.50
  6. Step 6: Final answer
    x = 506.53

Related Problems

Find third proportional to 174.75 and 210.38
Half scale
Find third proportional to 699 and 841.50
Double scale
Find third proportional to 352 and 423
Similar ratio
Find third proportional to 524.25 and 631.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.