Home / 585.75-648.75

Finding the Third Proportional to 585.75 and 648.75

Calculator

Solution

The third proportional to 585.75 and 648.75 is: 718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.75 : 648.75 = 648.75 : x
  2. Step 2: Convert to fraction form
    585.75/648.75 = 648.75/x
  3. Step 3: Cross multiply
    585.75x = 648.75 × 648.75
  4. Step 4: Simplify right side
    585.75x = 420,876.56
  5. Step 5: Solve for x
    x = 420,876.56/585.75
  6. Step 6: Final answer
    x = 718.53

Related Problems

Find third proportional to 292.88 and 324.38
Half scale
Find third proportional to 1,171.50 and 1,297.50
Double scale
Find third proportional to 588 and 651
Similar ratio
Find third proportional to 878.63 and 973.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.