Home / 1,070-1,643

Finding the Third Proportional to 1,070 and 1,643

Calculator

Solution

The third proportional to 1,070 and 1,643 is: 2,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070 : 1,643 = 1,643 : x
  2. Step 2: Convert to fraction form
    1,070/1,643 = 1,643/x
  3. Step 3: Cross multiply
    1,070x = 1,643 × 1,643
  4. Step 4: Simplify right side
    1,070x = 2,699,449
  5. Step 5: Solve for x
    x = 2,699,449/1,070
  6. Step 6: Final answer
    x = 2,522.85

Related Problems

Find third proportional to 535 and 821.50
Half scale
Find third proportional to 2,140 and 3,286
Double scale
Find third proportional to 1,072 and 1,646
Similar ratio
Find third proportional to 1,605 and 2,464.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.