Home / 519-537

Finding the Third Proportional to 519 and 537

Calculator

Solution

The third proportional to 519 and 537 is: 555.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 537 = 537 : x
  2. Step 2: Convert to fraction form
    519/537 = 537/x
  3. Step 3: Cross multiply
    519x = 537 × 537
  4. Step 4: Simplify right side
    519x = 288,369
  5. Step 5: Solve for x
    x = 288,369/519
  6. Step 6: Final answer
    x = 555.62

Related Problems

Find third proportional to 259.50 and 268.50
Half scale
Find third proportional to 1,038 and 1,074
Double scale
Find third proportional to 521 and 539
Similar ratio
Find third proportional to 778.50 and 805.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.