Home / 9,664-15,360

Finding the Third Proportional to 9,664 and 15,360

Calculator

Solution

The third proportional to 9,664 and 15,360 is: 24,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664 : 15,360 = 15,360 : x
  2. Step 2: Convert to fraction form
    9,664/15,360 = 15,360/x
  3. Step 3: Cross multiply
    9,664x = 15,360 × 15,360
  4. Step 4: Simplify right side
    9,664x = 235,929,600
  5. Step 5: Solve for x
    x = 235,929,600/9,664
  6. Step 6: Final answer
    x = 24,413.25

Related Problems

Find third proportional to 4,832 and 7,680
Half scale
Find third proportional to 19,328 and 30,720
Double scale
Find third proportional to 9,666 and 15,363
Similar ratio
Find third proportional to 14,496 and 23,040
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.