Home / 53,383-78,538

Finding the Third Proportional to 53,383 and 78,538

Calculator

Solution

The third proportional to 53,383 and 78,538 is: 115,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,383 : 78,538 = 78,538 : x
  2. Step 2: Convert to fraction form
    53,383/78,538 = 78,538/x
  3. Step 3: Cross multiply
    53,383x = 78,538 × 78,538
  4. Step 4: Simplify right side
    53,383x = 6,168,217,444
  5. Step 5: Solve for x
    x = 6,168,217,444/53,383
  6. Step 6: Final answer
    x = 115,546.47

Related Problems

Find third proportional to 26,691.50 and 39,269
Half scale
Find third proportional to 106,766 and 157,076
Double scale
Find third proportional to 53,385 and 78,541
Similar ratio
Find third proportional to 80,074.50 and 117,807
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.