Home / 142,024-312,074

Finding the Third Proportional to 142,024 and 312,074

Calculator

Solution

The third proportional to 142,024 and 312,074 is: 685,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,024 : 312,074 = 312,074 : x
  2. Step 2: Convert to fraction form
    142,024/312,074 = 312,074/x
  3. Step 3: Cross multiply
    142,024x = 312,074 × 312,074
  4. Step 4: Simplify right side
    142,024x = 97,390,181,476
  5. Step 5: Solve for x
    x = 97,390,181,476/142,024
  6. Step 6: Final answer
    x = 685,730.45

Related Problems

Find third proportional to 71,012 and 156,037
Half scale
Find third proportional to 284,048 and 624,148
Double scale
Find third proportional to 142,026 and 312,078
Similar ratio
Find third proportional to 213,036 and 468,111
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.