Home / 812-1,470

Finding the Third Proportional to 812 and 1,470

Calculator

Solution

The third proportional to 812 and 1,470 is: 2,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    812 : 1,470 = 1,470 : x
  2. Step 2: Convert to fraction form
    812/1,470 = 1,470/x
  3. Step 3: Cross multiply
    812x = 1,470 × 1,470
  4. Step 4: Simplify right side
    812x = 2,160,900
  5. Step 5: Solve for x
    x = 2,160,900/812
  6. Step 6: Final answer
    x = 2,661.21

Related Problems

Find third proportional to 406 and 735
Half scale
Find third proportional to 1,624 and 2,940
Double scale
Find third proportional to 814 and 1,474
Similar ratio
Find third proportional to 1,218 and 2,205
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.