Home / 697.78-1,536.47

Finding the Third Proportional to 697.78 and 1,536.47

Calculator

Solution

The third proportional to 697.78 and 1,536.47 is: 3,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.78 : 1,536.47 = 1,536.47 : x
  2. Step 2: Convert to fraction form
    697.78/1,536.47 = 1,536.47/x
  3. Step 3: Cross multiply
    697.78x = 1,536.47 × 1,536.47
  4. Step 4: Simplify right side
    697.78x = 2,360,736.22
  5. Step 5: Solve for x
    x = 2,360,736.22/697.78
  6. Step 6: Final answer
    x = 3,383.20

Related Problems

Find third proportional to 348.89 and 768.23
Half scale
Find third proportional to 1,395.56 and 3,072.94
Double scale
Find third proportional to 700 and 1,541
Similar ratio
Find third proportional to 1,046.67 and 2,304.70
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.