Home / 584.25-676.50

Finding the Third Proportional to 584.25 and 676.50

Calculator

Solution

The third proportional to 584.25 and 676.50 is: 783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.25 : 676.50 = 676.50 : x
  2. Step 2: Convert to fraction form
    584.25/676.50 = 676.50/x
  3. Step 3: Cross multiply
    584.25x = 676.50 × 676.50
  4. Step 4: Simplify right side
    584.25x = 457,652.25
  5. Step 5: Solve for x
    x = 457,652.25/584.25
  6. Step 6: Final answer
    x = 783.32

Related Problems

Find third proportional to 292.13 and 338.25
Half scale
Find third proportional to 1,168.50 and 1,353
Double scale
Find third proportional to 586 and 679
Similar ratio
Find third proportional to 876.38 and 1,014.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.