Home / 508-1,047

Finding the Third Proportional to 508 and 1,047

Calculator

Solution

The third proportional to 508 and 1,047 is: 2,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    508 : 1,047 = 1,047 : x
  2. Step 2: Convert to fraction form
    508/1,047 = 1,047/x
  3. Step 3: Cross multiply
    508x = 1,047 × 1,047
  4. Step 4: Simplify right side
    508x = 1,096,209
  5. Step 5: Solve for x
    x = 1,096,209/508
  6. Step 6: Final answer
    x = 2,157.89

Related Problems

Find third proportional to 254 and 523.50
Half scale
Find third proportional to 1,016 and 2,094
Double scale
Find third proportional to 510 and 1,051
Similar ratio
Find third proportional to 762 and 1,570.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.