Home / 97,884-211,320

Finding the Third Proportional to 97,884 and 211,320

Calculator

Solution

The third proportional to 97,884 and 211,320 is: 456,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,884 : 211,320 = 211,320 : x
  2. Step 2: Convert to fraction form
    97,884/211,320 = 211,320/x
  3. Step 3: Cross multiply
    97,884x = 211,320 × 211,320
  4. Step 4: Simplify right side
    97,884x = 44,656,142,400
  5. Step 5: Solve for x
    x = 44,656,142,400/97,884
  6. Step 6: Final answer
    x = 456,214.93

Related Problems

Find third proportional to 48,942 and 105,660
Half scale
Find third proportional to 195,768 and 422,640
Double scale
Find third proportional to 97,886 and 211,324
Similar ratio
Find third proportional to 146,826 and 316,980
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.