Home / 14,784-23,405

Finding the Third Proportional to 14,784 and 23,405

Calculator

Solution

The third proportional to 14,784 and 23,405 is: 37,053.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784 : 23,405 = 23,405 : x
  2. Step 2: Convert to fraction form
    14,784/23,405 = 23,405/x
  3. Step 3: Cross multiply
    14,784x = 23,405 × 23,405
  4. Step 4: Simplify right side
    14,784x = 547,794,025
  5. Step 5: Solve for x
    x = 547,794,025/14,784
  6. Step 6: Final answer
    x = 37,053.17

Related Problems

Find third proportional to 7,392 and 11,702.50
Half scale
Find third proportional to 29,568 and 46,810
Double scale
Find third proportional to 14,786 and 23,408
Similar ratio
Find third proportional to 22,176 and 35,107.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.