Home / 48,409-106,364

Finding the Third Proportional to 48,409 and 106,364

Calculator

Solution

The third proportional to 48,409 and 106,364 is: 233,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,409 : 106,364 = 106,364 : x
  2. Step 2: Convert to fraction form
    48,409/106,364 = 106,364/x
  3. Step 3: Cross multiply
    48,409x = 106,364 × 106,364
  4. Step 4: Simplify right side
    48,409x = 11,313,300,496
  5. Step 5: Solve for x
    x = 11,313,300,496/48,409
  6. Step 6: Final answer
    x = 233,702.42

Related Problems

Find third proportional to 24,204.50 and 53,182
Half scale
Find third proportional to 96,818 and 212,728
Double scale
Find third proportional to 48,411 and 106,368
Similar ratio
Find third proportional to 72,613.50 and 159,546
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.