Home / 506,406-783,871

Finding the Third Proportional to 506,406 and 783,871

Calculator

Solution

The third proportional to 506,406 and 783,871 is: 1,213,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,406 : 783,871 = 783,871 : x
  2. Step 2: Convert to fraction form
    506,406/783,871 = 783,871/x
  3. Step 3: Cross multiply
    506,406x = 783,871 × 783,871
  4. Step 4: Simplify right side
    506,406x = 614,453,744,641
  5. Step 5: Solve for x
    x = 614,453,744,641/506,406
  6. Step 6: Final answer
    x = 1,213,361.90

Related Problems

Find third proportional to 253,203 and 391,935.50
Half scale
Find third proportional to 1,012,812 and 1,567,742
Double scale
Find third proportional to 506,408 and 783,874
Similar ratio
Find third proportional to 759,609 and 1,175,806.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.