Home / 7,764-12,348

Finding the Third Proportional to 7,764 and 12,348

Calculator

Solution

The third proportional to 7,764 and 12,348 is: 19,638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764 : 12,348 = 12,348 : x
  2. Step 2: Convert to fraction form
    7,764/12,348 = 12,348/x
  3. Step 3: Cross multiply
    7,764x = 12,348 × 12,348
  4. Step 4: Simplify right side
    7,764x = 152,473,104
  5. Step 5: Solve for x
    x = 152,473,104/7,764
  6. Step 6: Final answer
    x = 19,638.47

Related Problems

Find third proportional to 3,882 and 6,174
Half scale
Find third proportional to 15,528 and 24,696
Double scale
Find third proportional to 7,766 and 12,351
Similar ratio
Find third proportional to 11,646 and 18,522
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.