Home / 7,689-10,137

Finding the Third Proportional to 7,689 and 10,137

Calculator

Solution

The third proportional to 7,689 and 10,137 is: 13,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689 : 10,137 = 10,137 : x
  2. Step 2: Convert to fraction form
    7,689/10,137 = 10,137/x
  3. Step 3: Cross multiply
    7,689x = 10,137 × 10,137
  4. Step 4: Simplify right side
    7,689x = 102,758,769
  5. Step 5: Solve for x
    x = 102,758,769/7,689
  6. Step 6: Final answer
    x = 13,364.39

Related Problems

Find third proportional to 3,844.50 and 5,068.50
Half scale
Find third proportional to 15,378 and 20,274
Double scale
Find third proportional to 7,691 and 10,140
Similar ratio
Find third proportional to 11,533.50 and 15,205.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.