Home / 9,206-14,641

Finding the Third Proportional to 9,206 and 14,641

Calculator

Solution

The third proportional to 9,206 and 14,641 is: 23,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206 : 14,641 = 14,641 : x
  2. Step 2: Convert to fraction form
    9,206/14,641 = 14,641/x
  3. Step 3: Cross multiply
    9,206x = 14,641 × 14,641
  4. Step 4: Simplify right side
    9,206x = 214,358,881
  5. Step 5: Solve for x
    x = 214,358,881/9,206
  6. Step 6: Final answer
    x = 23,284.69

Related Problems

Find third proportional to 4,603 and 7,320.50
Half scale
Find third proportional to 18,412 and 29,282
Double scale
Find third proportional to 9,208 and 14,644
Similar ratio
Find third proportional to 13,809 and 21,961.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.