Home / 821.50-1,787

Finding the Third Proportional to 821.50 and 1,787

Calculator

Solution

The third proportional to 821.50 and 1,787 is: 3,887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.50 : 1,787 = 1,787 : x
  2. Step 2: Convert to fraction form
    821.50/1,787 = 1,787/x
  3. Step 3: Cross multiply
    821.50x = 1,787 × 1,787
  4. Step 4: Simplify right side
    821.50x = 3,193,369
  5. Step 5: Solve for x
    x = 3,193,369/821.50
  6. Step 6: Final answer
    x = 3,887.24

Related Problems

Find third proportional to 410.75 and 893.50
Half scale
Find third proportional to 1,643 and 3,574
Double scale
Find third proportional to 824 and 1,791
Similar ratio
Find third proportional to 1,232.25 and 2,680.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.