Home / 98.34-207.42

Finding the Third Proportional to 98.34 and 207.42

Calculator

Solution

The third proportional to 98.34 and 207.42 is: 437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.34 : 207.42 = 207.42 : x
  2. Step 2: Convert to fraction form
    98.34/207.42 = 207.42/x
  3. Step 3: Cross multiply
    98.34x = 207.42 × 207.42
  4. Step 4: Simplify right side
    98.34x = 43,023.83
  5. Step 5: Solve for x
    x = 43,023.83/98.34
  6. Step 6: Final answer
    x = 437.48

Related Problems

Find third proportional to 49.17 and 103.71
Half scale
Find third proportional to 196.69 and 414.84
Double scale
Find third proportional to 100 and 212
Similar ratio
Find third proportional to 147.52 and 311.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.