Home / 7,702.25-10,297.75

Finding the Third Proportional to 7,702.25 and 10,297.75

Calculator

Solution

The third proportional to 7,702.25 and 10,297.75 is: 13,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.25 : 10,297.75 = 10,297.75 : x
  2. Step 2: Convert to fraction form
    7,702.25/10,297.75 = 10,297.75/x
  3. Step 3: Cross multiply
    7,702.25x = 10,297.75 × 10,297.75
  4. Step 4: Simplify right side
    7,702.25x = 106,043,655.06
  5. Step 5: Solve for x
    x = 106,043,655.06/7,702.25
  6. Step 6: Final answer
    x = 13,767.88

Related Problems

Find third proportional to 3,851.13 and 5,148.88
Half scale
Find third proportional to 15,404.50 and 20,595.50
Double scale
Find third proportional to 7,704 and 10,300
Similar ratio
Find third proportional to 11,553.38 and 15,446.63
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.