Home / 346.69-514.84

Finding the Third Proportional to 346.69 and 514.84

Calculator

Solution

The third proportional to 346.69 and 514.84 is: 764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.69 : 514.84 = 514.84 : x
  2. Step 2: Convert to fraction form
    346.69/514.84 = 514.84/x
  3. Step 3: Cross multiply
    346.69x = 514.84 × 514.84
  4. Step 4: Simplify right side
    346.69x = 265,064.09
  5. Step 5: Solve for x
    x = 265,064.09/346.69
  6. Step 6: Final answer
    x = 764.56

Related Problems

Find third proportional to 173.34 and 257.42
Half scale
Find third proportional to 693.38 and 1,029.69
Double scale
Find third proportional to 349 and 518
Similar ratio
Find third proportional to 520.03 and 772.27
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.