Home / 49,644-106,296

Finding the Third Proportional to 49,644 and 106,296

Calculator

Solution

The third proportional to 49,644 and 106,296 is: 227,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,644 : 106,296 = 106,296 : x
  2. Step 2: Convert to fraction form
    49,644/106,296 = 106,296/x
  3. Step 3: Cross multiply
    49,644x = 106,296 × 106,296
  4. Step 4: Simplify right side
    49,644x = 11,298,839,616
  5. Step 5: Solve for x
    x = 11,298,839,616/49,644
  6. Step 6: Final answer
    x = 227,597.28

Related Problems

Find third proportional to 24,822 and 53,148
Half scale
Find third proportional to 99,288 and 212,592
Double scale
Find third proportional to 49,646 and 106,300
Similar ratio
Find third proportional to 74,466 and 159,444
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.