Home / 7,509-16,314

Finding the Third Proportional to 7,509 and 16,314

Calculator

Solution

The third proportional to 7,509 and 16,314 is: 35,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509 : 16,314 = 16,314 : x
  2. Step 2: Convert to fraction form
    7,509/16,314 = 16,314/x
  3. Step 3: Cross multiply
    7,509x = 16,314 × 16,314
  4. Step 4: Simplify right side
    7,509x = 266,146,596
  5. Step 5: Solve for x
    x = 266,146,596/7,509
  6. Step 6: Final answer
    x = 35,443.68

Related Problems

Find third proportional to 3,754.50 and 8,157
Half scale
Find third proportional to 15,018 and 32,628
Double scale
Find third proportional to 7,511 and 16,318
Similar ratio
Find third proportional to 11,263.50 and 24,471
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.