Home / 96,782-144,132

Finding the Third Proportional to 96,782 and 144,132

Calculator

Solution

The third proportional to 96,782 and 144,132 is: 214,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,782 : 144,132 = 144,132 : x
  2. Step 2: Convert to fraction form
    96,782/144,132 = 144,132/x
  3. Step 3: Cross multiply
    96,782x = 144,132 × 144,132
  4. Step 4: Simplify right side
    96,782x = 20,774,033,424
  5. Step 5: Solve for x
    x = 20,774,033,424/96,782
  6. Step 6: Final answer
    x = 214,647.70

Related Problems

Find third proportional to 48,391 and 72,066
Half scale
Find third proportional to 193,564 and 288,264
Double scale
Find third proportional to 96,784 and 144,135
Similar ratio
Find third proportional to 145,173 and 216,198
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.