Home / 150,854-312,142

Finding the Third Proportional to 150,854 and 312,142

Calculator

Solution

The third proportional to 150,854 and 312,142 is: 645,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,854 : 312,142 = 312,142 : x
  2. Step 2: Convert to fraction form
    150,854/312,142 = 312,142/x
  3. Step 3: Cross multiply
    150,854x = 312,142 × 312,142
  4. Step 4: Simplify right side
    150,854x = 97,432,628,164
  5. Step 5: Solve for x
    x = 97,432,628,164/150,854
  6. Step 6: Final answer
    x = 645,873.68

Related Problems

Find third proportional to 75,427 and 156,071
Half scale
Find third proportional to 301,708 and 624,284
Double scale
Find third proportional to 150,856 and 312,146
Similar ratio
Find third proportional to 226,281 and 468,213
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.