Home / 49,970-109,201

Finding the Third Proportional to 49,970 and 109,201

Calculator

Solution

The third proportional to 49,970 and 109,201 is: 238,640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,970 : 109,201 = 109,201 : x
  2. Step 2: Convert to fraction form
    49,970/109,201 = 109,201/x
  3. Step 3: Cross multiply
    49,970x = 109,201 × 109,201
  4. Step 4: Simplify right side
    49,970x = 11,924,858,401
  5. Step 5: Solve for x
    x = 11,924,858,401/49,970
  6. Step 6: Final answer
    x = 238,640.35

Related Problems

Find third proportional to 24,985 and 54,600.50
Half scale
Find third proportional to 99,940 and 218,402
Double scale
Find third proportional to 49,972 and 109,205
Similar ratio
Find third proportional to 74,955 and 163,801.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.