Home / 45-102.50

Finding the Third Proportional to 45 and 102.50

Calculator

Solution

The third proportional to 45 and 102.50 is: 233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45 : 102.50 = 102.50 : x
  2. Step 2: Convert to fraction form
    45/102.50 = 102.50/x
  3. Step 3: Cross multiply
    45x = 102.50 × 102.50
  4. Step 4: Simplify right side
    45x = 10,506.25
  5. Step 5: Solve for x
    x = 10,506.25/45
  6. Step 6: Final answer
    x = 233.47

Related Problems

Find third proportional to 22.50 and 51.25
Half scale
Find third proportional to 90 and 205
Double scale
Find third proportional to 47 and 107
Similar ratio
Find third proportional to 67.50 and 153.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.