Home / 102,466-217,092

Finding the Third Proportional to 102,466 and 217,092

Calculator

Solution

The third proportional to 102,466 and 217,092 is: 459,947.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,466 : 217,092 = 217,092 : x
  2. Step 2: Convert to fraction form
    102,466/217,092 = 217,092/x
  3. Step 3: Cross multiply
    102,466x = 217,092 × 217,092
  4. Step 4: Simplify right side
    102,466x = 47,128,936,464
  5. Step 5: Solve for x
    x = 47,128,936,464/102,466
  6. Step 6: Final answer
    x = 459,947.07

Related Problems

Find third proportional to 51,233 and 108,546
Half scale
Find third proportional to 204,932 and 434,184
Double scale
Find third proportional to 102,468 and 217,096
Similar ratio
Find third proportional to 153,699 and 325,638
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.