Home / 207.50-343.75

Finding the Third Proportional to 207.50 and 343.75

Calculator

Solution

The third proportional to 207.50 and 343.75 is: 569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.50 : 343.75 = 343.75 : x
  2. Step 2: Convert to fraction form
    207.50/343.75 = 343.75/x
  3. Step 3: Cross multiply
    207.50x = 343.75 × 343.75
  4. Step 4: Simplify right side
    207.50x = 118,164.06
  5. Step 5: Solve for x
    x = 118,164.06/207.50
  6. Step 6: Final answer
    x = 569.47

Related Problems

Find third proportional to 103.75 and 171.88
Half scale
Find third proportional to 415 and 687.50
Double scale
Find third proportional to 210 and 347
Similar ratio
Find third proportional to 311.25 and 515.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.