Home / 714-1,102

Finding the Third Proportional to 714 and 1,102

Calculator

Solution

The third proportional to 714 and 1,102 is: 1,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    714 : 1,102 = 1,102 : x
  2. Step 2: Convert to fraction form
    714/1,102 = 1,102/x
  3. Step 3: Cross multiply
    714x = 1,102 × 1,102
  4. Step 4: Simplify right side
    714x = 1,214,404
  5. Step 5: Solve for x
    x = 1,214,404/714
  6. Step 6: Final answer
    x = 1,700.85

Related Problems

Find third proportional to 357 and 551
Half scale
Find third proportional to 1,428 and 2,204
Double scale
Find third proportional to 716 and 1,105
Similar ratio
Find third proportional to 1,071 and 1,653
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.