Home / 198-507

Finding the Third Proportional to 198 and 507

Calculator

Solution

The third proportional to 198 and 507 is: 1,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 507 = 507 : x
  2. Step 2: Convert to fraction form
    198/507 = 507/x
  3. Step 3: Cross multiply
    198x = 507 × 507
  4. Step 4: Simplify right side
    198x = 257,049
  5. Step 5: Solve for x
    x = 257,049/198
  6. Step 6: Final answer
    x = 1,298.23

Related Problems

Find third proportional to 99 and 253.50
Half scale
Find third proportional to 396 and 1,014
Double scale
Find third proportional to 200 and 512
Similar ratio
Find third proportional to 297 and 760.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.