Home / 584.25-832.50

Finding the Third Proportional to 584.25 and 832.50

Calculator

Solution

The third proportional to 584.25 and 832.50 is: 1,186.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.25 : 832.50 = 832.50 : x
  2. Step 2: Convert to fraction form
    584.25/832.50 = 832.50/x
  3. Step 3: Cross multiply
    584.25x = 832.50 × 832.50
  4. Step 4: Simplify right side
    584.25x = 693,056.25
  5. Step 5: Solve for x
    x = 693,056.25/584.25
  6. Step 6: Final answer
    x = 1,186.23

Related Problems

Find third proportional to 292.13 and 416.25
Half scale
Find third proportional to 1,168.50 and 1,665
Double scale
Find third proportional to 586 and 835
Similar ratio
Find third proportional to 876.38 and 1,248.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.