Home / 75,774-166,320

Finding the Third Proportional to 75,774 and 166,320

Calculator

Solution

The third proportional to 75,774 and 166,320 is: 365,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,774 : 166,320 = 166,320 : x
  2. Step 2: Convert to fraction form
    75,774/166,320 = 166,320/x
  3. Step 3: Cross multiply
    75,774x = 166,320 × 166,320
  4. Step 4: Simplify right side
    75,774x = 27,662,342,400
  5. Step 5: Solve for x
    x = 27,662,342,400/75,774
  6. Step 6: Final answer
    x = 365,063.77

Related Problems

Find third proportional to 37,887 and 83,160
Half scale
Find third proportional to 151,548 and 332,640
Double scale
Find third proportional to 75,776 and 166,324
Similar ratio
Find third proportional to 113,661 and 249,480
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.