Home / 30,972-49,221

Finding the Third Proportional to 30,972 and 49,221

Calculator

Solution

The third proportional to 30,972 and 49,221 is: 78,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,972 : 49,221 = 49,221 : x
  2. Step 2: Convert to fraction form
    30,972/49,221 = 49,221/x
  3. Step 3: Cross multiply
    30,972x = 49,221 × 49,221
  4. Step 4: Simplify right side
    30,972x = 2,422,706,841
  5. Step 5: Solve for x
    x = 2,422,706,841/30,972
  6. Step 6: Final answer
    x = 78,222.49

Related Problems

Find third proportional to 15,486 and 24,610.50
Half scale
Find third proportional to 61,944 and 98,442
Double scale
Find third proportional to 30,974 and 49,224
Similar ratio
Find third proportional to 46,458 and 73,831.50
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.