Home / 490-506

Finding the Third Proportional to 490 and 506

Calculator

Solution

The third proportional to 490 and 506 is: 522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    490 : 506 = 506 : x
  2. Step 2: Convert to fraction form
    490/506 = 506/x
  3. Step 3: Cross multiply
    490x = 506 × 506
  4. Step 4: Simplify right side
    490x = 256,036
  5. Step 5: Solve for x
    x = 256,036/490
  6. Step 6: Final answer
    x = 522.52

Related Problems

Find third proportional to 245 and 253
Half scale
Find third proportional to 980 and 1,012
Double scale
Find third proportional to 492 and 508
Similar ratio
Find third proportional to 735 and 759
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.