Home / 12,580-19,174

Finding the Third Proportional to 12,580 and 19,174

Calculator

Solution

The third proportional to 12,580 and 19,174 is: 29,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580 : 19,174 = 19,174 : x
  2. Step 2: Convert to fraction form
    12,580/19,174 = 19,174/x
  3. Step 3: Cross multiply
    12,580x = 19,174 × 19,174
  4. Step 4: Simplify right side
    12,580x = 367,642,276
  5. Step 5: Solve for x
    x = 367,642,276/12,580
  6. Step 6: Final answer
    x = 29,224.35

Related Problems

Find third proportional to 6,290 and 9,587
Half scale
Find third proportional to 25,160 and 38,348
Double scale
Find third proportional to 12,582 and 19,177
Similar ratio
Find third proportional to 18,870 and 28,761
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.