Home / 9,712-14,650

Finding the Third Proportional to 9,712 and 14,650

Calculator

Solution

The third proportional to 9,712 and 14,650 is: 22,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 14,650 = 14,650 : x
  2. Step 2: Convert to fraction form
    9,712/14,650 = 14,650/x
  3. Step 3: Cross multiply
    9,712x = 14,650 × 14,650
  4. Step 4: Simplify right side
    9,712x = 214,622,500
  5. Step 5: Solve for x
    x = 214,622,500/9,712
  6. Step 6: Final answer
    x = 22,098.69

Related Problems

Find third proportional to 4,856 and 7,325
Half scale
Find third proportional to 19,424 and 29,300
Double scale
Find third proportional to 9,714 and 14,653
Similar ratio
Find third proportional to 14,568 and 21,975
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.