Home / 149,732-321,370

Finding the Third Proportional to 149,732 and 321,370

Calculator

Solution

The third proportional to 149,732 and 321,370 is: 689,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,732 : 321,370 = 321,370 : x
  2. Step 2: Convert to fraction form
    149,732/321,370 = 321,370/x
  3. Step 3: Cross multiply
    149,732x = 321,370 × 321,370
  4. Step 4: Simplify right side
    149,732x = 103,278,676,900
  5. Step 5: Solve for x
    x = 103,278,676,900/149,732
  6. Step 6: Final answer
    x = 689,756.88

Related Problems

Find third proportional to 74,866 and 160,685
Half scale
Find third proportional to 299,464 and 642,740
Double scale
Find third proportional to 149,734 and 321,374
Similar ratio
Find third proportional to 224,598 and 482,055
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.