Home / 1,688-1,820

Finding the Third Proportional to 1,688 and 1,820

Calculator

Solution

The third proportional to 1,688 and 1,820 is: 1,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688 : 1,820 = 1,820 : x
  2. Step 2: Convert to fraction form
    1,688/1,820 = 1,820/x
  3. Step 3: Cross multiply
    1,688x = 1,820 × 1,820
  4. Step 4: Simplify right side
    1,688x = 3,312,400
  5. Step 5: Solve for x
    x = 3,312,400/1,688
  6. Step 6: Final answer
    x = 1,962.32

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.