Home / 847-1,023

Finding the Third Proportional to 847 and 1,023

Calculator

Solution

The third proportional to 847 and 1,023 is: 1,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    847 : 1,023 = 1,023 : x
  2. Step 2: Convert to fraction form
    847/1,023 = 1,023/x
  3. Step 3: Cross multiply
    847x = 1,023 × 1,023
  4. Step 4: Simplify right side
    847x = 1,046,529
  5. Step 5: Solve for x
    x = 1,046,529/847
  6. Step 6: Final answer
    x = 1,235.57

Related Problems

Find third proportional to 423.50 and 511.50
Half scale
Find third proportional to 1,694 and 2,046
Double scale
Find third proportional to 849 and 1,025
Similar ratio
Find third proportional to 1,270.50 and 1,534.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.