Home / 502-693

Finding the Third Proportional to 502 and 693

Calculator

Solution

The third proportional to 502 and 693 is: 956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502 : 693 = 693 : x
  2. Step 2: Convert to fraction form
    502/693 = 693/x
  3. Step 3: Cross multiply
    502x = 693 × 693
  4. Step 4: Simplify right side
    502x = 480,249
  5. Step 5: Solve for x
    x = 480,249/502
  6. Step 6: Final answer
    x = 956.67

Related Problems

Find third proportional to 251 and 346.50
Half scale
Find third proportional to 1,004 and 1,386
Double scale
Find third proportional to 504 and 696
Similar ratio
Find third proportional to 753 and 1,039.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.