Home / 51,162-77,538

Finding the Third Proportional to 51,162 and 77,538

Calculator

Solution

The third proportional to 51,162 and 77,538 is: 117,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,162 : 77,538 = 77,538 : x
  2. Step 2: Convert to fraction form
    51,162/77,538 = 77,538/x
  3. Step 3: Cross multiply
    51,162x = 77,538 × 77,538
  4. Step 4: Simplify right side
    51,162x = 6,012,141,444
  5. Step 5: Solve for x
    x = 6,012,141,444/51,162
  6. Step 6: Final answer
    x = 117,511.85

Related Problems

Find third proportional to 25,581 and 38,769
Half scale
Find third proportional to 102,324 and 155,076
Double scale
Find third proportional to 51,164 and 77,541
Similar ratio
Find third proportional to 76,743 and 116,307
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.