Home / 704-1,640

Finding the Third Proportional to 704 and 1,640

Calculator

Solution

The third proportional to 704 and 1,640 is: 3,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    704 : 1,640 = 1,640 : x
  2. Step 2: Convert to fraction form
    704/1,640 = 1,640/x
  3. Step 3: Cross multiply
    704x = 1,640 × 1,640
  4. Step 4: Simplify right side
    704x = 2,689,600
  5. Step 5: Solve for x
    x = 2,689,600/704
  6. Step 6: Final answer
    x = 3,820.45

Related Problems

Find third proportional to 352 and 820
Half scale
Find third proportional to 1,408 and 3,280
Double scale
Find third proportional to 706 and 1,645
Similar ratio
Find third proportional to 1,056 and 2,460
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.