Home / 1,462-1,614

Finding the Third Proportional to 1,462 and 1,614

Calculator

Solution

The third proportional to 1,462 and 1,614 is: 1,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462 : 1,614 = 1,614 : x
  2. Step 2: Convert to fraction form
    1,462/1,614 = 1,614/x
  3. Step 3: Cross multiply
    1,462x = 1,614 × 1,614
  4. Step 4: Simplify right side
    1,462x = 2,604,996
  5. Step 5: Solve for x
    x = 2,604,996/1,462
  6. Step 6: Final answer
    x = 1,781.80

Related Problems

Find third proportional to 731 and 807
Half scale
Find third proportional to 2,924 and 3,228
Double scale
Find third proportional to 1,464 and 1,616
Similar ratio
Find third proportional to 2,193 and 2,421
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.