Home / 428.50-584

Finding the Third Proportional to 428.50 and 584

Calculator

Solution

The third proportional to 428.50 and 584 is: 795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.50 : 584 = 584 : x
  2. Step 2: Convert to fraction form
    428.50/584 = 584/x
  3. Step 3: Cross multiply
    428.50x = 584 × 584
  4. Step 4: Simplify right side
    428.50x = 341,056
  5. Step 5: Solve for x
    x = 341,056/428.50
  6. Step 6: Final answer
    x = 795.93

Related Problems

Find third proportional to 214.25 and 292
Half scale
Find third proportional to 857 and 1,168
Double scale
Find third proportional to 431 and 587
Similar ratio
Find third proportional to 642.75 and 876
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.