Home / 749.75-1,538.25

Finding the Third Proportional to 749.75 and 1,538.25

Calculator

Solution

The third proportional to 749.75 and 1,538.25 is: 3,156.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.75 : 1,538.25 = 1,538.25 : x
  2. Step 2: Convert to fraction form
    749.75/1,538.25 = 1,538.25/x
  3. Step 3: Cross multiply
    749.75x = 1,538.25 × 1,538.25
  4. Step 4: Simplify right side
    749.75x = 2,366,213.06
  5. Step 5: Solve for x
    x = 2,366,213.06/749.75
  6. Step 6: Final answer
    x = 3,156.00

Related Problems

Find third proportional to 374.88 and 769.13
Half scale
Find third proportional to 1,499.50 and 3,076.50
Double scale
Find third proportional to 752 and 1,542
Similar ratio
Find third proportional to 1,124.63 and 2,307.38
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.