Home / 9,870-15,705

Finding the Third Proportional to 9,870 and 15,705

Calculator

Solution

The third proportional to 9,870 and 15,705 is: 24,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,870 : 15,705 = 15,705 : x
  2. Step 2: Convert to fraction form
    9,870/15,705 = 15,705/x
  3. Step 3: Cross multiply
    9,870x = 15,705 × 15,705
  4. Step 4: Simplify right side
    9,870x = 246,647,025
  5. Step 5: Solve for x
    x = 246,647,025/9,870
  6. Step 6: Final answer
    x = 24,989.57

Related Problems

Find third proportional to 4,935 and 7,852.50
Half scale
Find third proportional to 19,740 and 31,410
Double scale
Find third proportional to 9,872 and 15,708
Similar ratio
Find third proportional to 14,805 and 23,557.50
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.