Home / 197,032-312,046

Finding the Third Proportional to 197,032 and 312,046

Calculator

Solution

The third proportional to 197,032 and 312,046 is: 494,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,032 : 312,046 = 312,046 : x
  2. Step 2: Convert to fraction form
    197,032/312,046 = 312,046/x
  3. Step 3: Cross multiply
    197,032x = 312,046 × 312,046
  4. Step 4: Simplify right side
    197,032x = 97,372,706,116
  5. Step 5: Solve for x
    x = 97,372,706,116/197,032
  6. Step 6: Final answer
    x = 494,197.42

Related Problems

Find third proportional to 98,516 and 156,023
Half scale
Find third proportional to 394,064 and 624,092
Double scale
Find third proportional to 197,034 and 312,049
Similar ratio
Find third proportional to 295,548 and 468,069
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.