Home / 48,648-106,523

Finding the Third Proportional to 48,648 and 106,523

Calculator

Solution

The third proportional to 48,648 and 106,523 is: 233,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,648 : 106,523 = 106,523 : x
  2. Step 2: Convert to fraction form
    48,648/106,523 = 106,523/x
  3. Step 3: Cross multiply
    48,648x = 106,523 × 106,523
  4. Step 4: Simplify right side
    48,648x = 11,347,149,529
  5. Step 5: Solve for x
    x = 11,347,149,529/48,648
  6. Step 6: Final answer
    x = 233,250.07

Related Problems

Find third proportional to 24,324 and 53,261.50
Half scale
Find third proportional to 97,296 and 213,046
Double scale
Find third proportional to 48,650 and 106,527
Similar ratio
Find third proportional to 72,972 and 159,784.50
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.