Home / 543.50-584

Finding the Third Proportional to 543.50 and 584

Calculator

Solution

The third proportional to 543.50 and 584 is: 627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.50 : 584 = 584 : x
  2. Step 2: Convert to fraction form
    543.50/584 = 584/x
  3. Step 3: Cross multiply
    543.50x = 584 × 584
  4. Step 4: Simplify right side
    543.50x = 341,056
  5. Step 5: Solve for x
    x = 341,056/543.50
  6. Step 6: Final answer
    x = 627.52

Related Problems

Find third proportional to 271.75 and 292
Half scale
Find third proportional to 1,087 and 1,168
Double scale
Find third proportional to 546 and 586
Similar ratio
Find third proportional to 815.25 and 876
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.