Home / 524-584

Finding the Third Proportional to 524 and 584

Calculator

Solution

The third proportional to 524 and 584 is: 650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    524 : 584 = 584 : x
  2. Step 2: Convert to fraction form
    524/584 = 584/x
  3. Step 3: Cross multiply
    524x = 584 × 584
  4. Step 4: Simplify right side
    524x = 341,056
  5. Step 5: Solve for x
    x = 341,056/524
  6. Step 6: Final answer
    x = 650.87

Related Problems

Find third proportional to 262 and 292
Half scale
Find third proportional to 1,048 and 1,168
Double scale
Find third proportional to 526 and 586
Similar ratio
Find third proportional to 786 and 876
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.