Home / 278.50-523

Finding the Third Proportional to 278.50 and 523

Calculator

Solution

The third proportional to 278.50 and 523 is: 982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.50 : 523 = 523 : x
  2. Step 2: Convert to fraction form
    278.50/523 = 523/x
  3. Step 3: Cross multiply
    278.50x = 523 × 523
  4. Step 4: Simplify right side
    278.50x = 273,529
  5. Step 5: Solve for x
    x = 273,529/278.50
  6. Step 6: Final answer
    x = 982.15

Related Problems

Find third proportional to 139.25 and 261.50
Half scale
Find third proportional to 557 and 1,046
Double scale
Find third proportional to 281 and 527
Similar ratio
Find third proportional to 417.75 and 784.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.