Home / 19,664-41,546

Finding the Third Proportional to 19,664 and 41,546

Calculator

Solution

The third proportional to 19,664 and 41,546 is: 87,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664 : 41,546 = 41,546 : x
  2. Step 2: Convert to fraction form
    19,664/41,546 = 41,546/x
  3. Step 3: Cross multiply
    19,664x = 41,546 × 41,546
  4. Step 4: Simplify right side
    19,664x = 1,726,070,116
  5. Step 5: Solve for x
    x = 1,726,070,116/19,664
  6. Step 6: Final answer
    x = 87,778.18

Related Problems

Find third proportional to 9,832 and 20,773
Half scale
Find third proportional to 39,328 and 83,092
Double scale
Find third proportional to 19,666 and 41,550
Similar ratio
Find third proportional to 29,496 and 62,319
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.