Home / 31,414-68,282

Finding the Third Proportional to 31,414 and 68,282

Calculator

Solution

The third proportional to 31,414 and 68,282 is: 148,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414 : 68,282 = 68,282 : x
  2. Step 2: Convert to fraction form
    31,414/68,282 = 68,282/x
  3. Step 3: Cross multiply
    31,414x = 68,282 × 68,282
  4. Step 4: Simplify right side
    31,414x = 4,662,431,524
  5. Step 5: Solve for x
    x = 4,662,431,524/31,414
  6. Step 6: Final answer
    x = 148,418.91

Related Problems

Find third proportional to 15,707 and 34,141
Half scale
Find third proportional to 62,828 and 136,564
Double scale
Find third proportional to 31,416 and 68,286
Similar ratio
Find third proportional to 47,121 and 102,423
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.