Home / 1,688-3,691

Finding the Third Proportional to 1,688 and 3,691

Calculator

Solution

The third proportional to 1,688 and 3,691 is: 8,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688 : 3,691 = 3,691 : x
  2. Step 2: Convert to fraction form
    1,688/3,691 = 3,691/x
  3. Step 3: Cross multiply
    1,688x = 3,691 × 3,691
  4. Step 4: Simplify right side
    1,688x = 13,623,481
  5. Step 5: Solve for x
    x = 13,623,481/1,688
  6. Step 6: Final answer
    x = 8,070.78

Related Problems

Find third proportional to 844 and 1,845.50
Half scale
Find third proportional to 3,376 and 7,382
Double scale
Find third proportional to 1,690 and 3,695
Similar ratio
Find third proportional to 2,532 and 5,536.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.