Home / 507-663

Finding the Third Proportional to 507 and 663

Calculator

Solution

The third proportional to 507 and 663 is: 867

Step by Step Solution

  1. Step 1: Write the proportion equation
    507 : 663 = 663 : x
  2. Step 2: Convert to fraction form
    507/663 = 663/x
  3. Step 3: Cross multiply
    507x = 663 × 663
  4. Step 4: Simplify right side
    507x = 439,569
  5. Step 5: Solve for x
    x = 439,569/507
  6. Step 6: Final answer
    x = 867

Related Problems

Find third proportional to 253.50 and 331.50
Half scale
Find third proportional to 1,014 and 1,326
Double scale
Find third proportional to 509 and 666
Similar ratio
Find third proportional to 760.50 and 994.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.